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School HomeResearchPast Seminar informationPure Mathematics

Past Pure Mathematics Seminars by Reverse Date

 


Pure Mathematics Seminars (Historical)

Spectacle cycles and modular forms
Dr Jens Funke (Durham university)
27 May 2010Harrison 203 Thursday 3pmPure Mathematics
The classical Shintani lift is the adjoint of the Shimura correspondence. It realizes periods of even weight cusp forms as Fourier coefficients of a half-integral modular form. In this talk we revisit the Shintani lift from a (co)homological perspective. In particular, we extend the lift to Eisenstein series and give a geometric interpretation of this extension. This is joint work with John Millson.

 

TBA
Professor Frances Kirwan (University Oxford)
18 Mar 2010Harrison 106 Thursday 3pmPure Mathematics

 

irreducible $\Qp$-representations of compact $p$-adic analytic groups
Dr Konstantin Ardakov (Nottingham university)
11 Mar 2010Harrison 106 Thursday 3pmPure Mathematics

 

P-adic interpolation of automorphic forms
Dr David Loeffler (University Warwick)
4 Mar 2010Harrison 106 Thursday 3pmPure Mathematics
Colemanís work on overconvergent p-adic modular forms shows that finite slope modular eigenforms can be interpolated p-adically, forming rigid-analytic families of eigenforms parametrised by their weights. This has been generalised by Emerton to cohomological automor- phic representations of a wide range of reductive groups, where the local factor at p is principal series. I shall give an exposition of Emertonís construction, and of recent joint work with Richard Hill and myself in which we have extended this to certain non-principal-series cases

 

p-adic L-functions of modular forms at supersingular primes
Dr Antonio Lei (Cambridge university)
22 Feb 2010Harrison 171 Monday 2pmPure Mathematics

 

On volumes of arithmetic hyperbolic n-orbifolds.
Dr Mikhail Belolipetsky (Durham University)
15 Feb 2010Harrison 106 Monday 2pmPure Mathematics
The main topic of my talk is the search for the minimal volume quotients of the hyperbolic n-space. In dimension 2 the problem was solved by Siegel who also asked about the general case. Since then a considerable progress has been made for the so-called arithmetic quotients and the only case which was still open is when the dimension n is odd and >3. After a brief introduction I will focus on the solution to this problem which we obtained in a recent joint work with Vincent Emery.

 

Weiestrass Points and Automorphisms of Curves
Dr Kay Magaard (University of Birmingham)
11 Feb 2010Harrison 106 Thursday 3pmPure Mathematics
Let $X$ be a compact connected Riemann surface of genus $g \geq 2$. A point of $p \in X$ is Weierstrass if there exists a non-constant meromorphic function on $X$ that has a pole of order $\leq g$ at $p$ and is holomorphic on $X \setminus p$. A lemma of Sch\"oneberg asserts that if an automorphism $\alpha$ of $X$ fixes five or more points of $X$, then every one of them is a Weierstrass point. In the talk we will discuss the impact of Sch\"oneberg's lemma has on the structure of the automorphism group of $X$.

 

Non-residually finite extension of arithmetic groups.
Dr Richard Hill (University College London)
8 Feb 2010Harrison 106 Monday 2pmPure Mathematics
Let Gamma be an arithmetic group with the congruence subgroup property, and with an associated Shimura variety. A theorem of Deligne states that there is a central extension of Gamma by a cyclic group which is not residually finite. This result was used by Toledo to give examples of complex projective varieties for which the topological fundamental group does not embed in the algebraic fundamental group. In the talk I'll generalize Deligne's result to the case that Gamma has no associated Shimura variety, so for example my result holds for congruence subgroups of SL(n,Z) with n at least 3.

 

Congruences in noncommutative Iwasawa theory
Dr Mahesh Kakde (University College London)
28 Jan 2010Harrison 106 Thursday 3pmPure Mathematics

 

L-functions and Arithmetic
Professor John Coates (Cambridge university)
14 May 2009Harrison 101 Thursday 3pmPure Mathematics

 

The higher Hilbert symbol via (phi,G)-modules
Dr Sarah Zerbes (Exeter university)
7 May 2009Harrison 101 Thursday 3pmPure Mathematics

 

Parity of the rank of an elliptic curve: results
Dr Tim Dokchitser (Cambridge university)
30 Apr 2009Harrison 101 Thursday 4pmPure Mathematics

 

Parity of the rank of an elliptic curve: phenomena
Dr Valadimir Dokchitser (Cambridge university)
30 Apr 2009Harrison 101 Thursday 3pmPure Mathematics

 

Sha and Degree 4 del Pezzo Surfaces.
Prof. Victor Flynn (Oxford University)
20 Mar 2009Harrison LT04 Friday 2pmPure Mathematics

 

Skew Power Series Rings
Prof. Otmar Venjakob (Heidelberg University)
19 Mar 2009Harrison 101 Thursday 3pmPure Mathematics

 

Period Domains Modular Forms and Lattices
Dr Gregory Sankaran (Bath University)
5 Mar 2009Harrison 101 Thursday 3pmPure Mathematics

 

Manin-Mumford and Andre-Oort conjectures : a unified approach.
Dr Andrei Yafaev (UCL)
19 Feb 2009Harrison 101 Thursday 3pmPure Mathematics

 

Manin-Mumford and Andre-Oort conjectures : a unified approach.
Dr Andrei Yafaev (UCL)
19 Feb 2009Harrison 101 Thursday 3pmPure Mathematics

 

Professor
Professor Nigel Boston (Dublin)
5 Feb 2009Harrison 101 Thursday 3pmPure Mathematics
Arboreal representations, factoring iterates, and p-extensions

 

Linear growth of rational points on Chatelet surfaces
Dr Tim Browning (Bristol university)
29 Jan 2009Harrison 101 Thursday 3pmPure Mathematics

 

On Geometry of Hilbert Modular Varieties and Applications to Canonical Subgroups
Dr Payman Kassaei (King's College London)
15 Jan 2009Harrison 101 Thursday 3pmPure Mathematics

 

p-adic semistable representations and generalization of the Shafarevich Conjecture
Professor Victor Abrashkin (Durham University)
3 Dec 2008Harrison 101 Thursday 3pmPure Mathematics
Breuilís theory of semistable p-adic representations is applied to prove the following property: if X is a projective variety over Q with semistable reduction modulo 3 and good reduction at all other primes then its Hodge number h^{2,0} = 0

 

Limits of normal functions and Abel Jacobi maps
Matthew Kerr (Durham University)
27 Nov 2008Harrison 101 Thursday 3pmPure Mathematics

 

Determinant functors for triangulated categories
Dr Manuel Breuning (Kings College)
13 Nov 2008Harrison 101 Thursday 3pmPure Mathematics

 

On the Iwasawa theory of abelian varieties over function fields
Dr Fabian Trihan (Nottingham university)
6 Nov 2008Harrison 101 Thursday 3pmPure Mathematics

 

The Manin constant of elliptic curves over function fields
Dr Ambrus Pal (Imperial College)
30 Oct 2008Harrison 101 Thursday 3pmPure Mathematics
We study the p-adic valuation of the values of normalized Hecke eigenforms attached to non-isotrivial elliptic curves defined over function fields of transcendence degree one over finite fields of characteristic p. Under certain assumptions we compute on the smallest attained valuation in terms of the minimal discriminant. As a consequence we show that the former can be arbitrarily small. We also use our results to prove for the first time the analogue of the degree conjecture unconditionally for infinite families of strong Weil curves defined over rational function fields

 

Almost Koszul algebras from quantum subgroups
Dr Barrie Cooper (Exeter University)
23 Oct 2008Harrison 101 Thursday 3pmPure Mathematics

 

Algebraic surfaces and hyperbolic geometry
Prof. Burt Totaro (Cambridge university)
16 Oct 2008Harrison 101 Thursday 3pmPure Mathematics
The intersection form among curves on a complex algebraic surface always has signature (1,n) for some n. So the automorphism group of an algebraic surface always acts on hyperbolic (n-1)-space. For a class of surfaces including K3 surfaces and many rational surfaces, there is a close connection between the properties of the variety and the corresponding group acting on hyperbolic space

 

Rational points of definable sets and diophantine problems
Dr. Jonhatan Pila (Bristol University)
9 Oct 2008Harrison 101 Thursday 3pmPure Mathematics
I will discuss problems and results concerning the distribution of rational points on algebraic and, mainly, certain non-algebraic sets in $\RR^n$. More specifically, definable sets in o-minimal structures. I will describe a result, joint with Wilkie, that such a set $X$ can have only ``few'' rational points, in a density sense, that do not lie on some positive dimensional connected semi-algebraic subset of $X$.I will give some applications to problems of Andre-Oort-Manin-Mumford type, including a new proof, joint with Zannier, of the Manin-Mumford conjecture, and some variant special cases of results of Andre-Oort and mixed Andre-Oort-Manin-Mumford type.

 

Rational points of definable sets and diophantine problems
Dr. Jonhatan Pila (Bristol University)
9 Oct 2008Harrison 101 Thursday 3pmPure Mathematics
I will discuss problems and results concerning the distribution of rational points on algebraic and, mainly, certain non-algebraic sets in $\RR^n$. More specifically, definable sets in o-minimal structures. I will describe a result, joint with Wilkie, that such a set $X$ can have only ``few'' rational points, in a density sense, that do not lie on some positive dimensional connected semi-algebraic subset of $X$.I will give some applications to problems of Andre-Oort-Manin-Mumford type, including a new proof, joint with Zannier, of the Manin-Mumford conjecture, and some variant special cases of results of Andre-Oort and mixed Andre-Oort-Manin-Mumford type.

 

Eigenvarieties and p-adic Banach spaces
Richard Hill (University College, London)
8 May 2008Harrison 106 Thursday 3pmPure Mathematics

 

Integral Points on Curves of Higher Genus
Samir Siksek (Warwick)
1 May 2008Harrison 106 Thursday 3pmPure Mathematics
For many curves of higher genus, Baker's Theory provides (astronomical) bounds for the size of integral points. I explain how to combine Baker's bounds with the Mordell-Weil sieve to compute all the integral points on some curves of higher genus. This is based on joint work with Bugeaud, Mignotte, Stoll and Tengely.

 

Modular forms and Galois representations over imaginary quadratic fields
Tobias Berger (Cambridge)
13 Mar 2008Harrison 106 Thursday 3pmPure Mathematics
In joint work with Gergely Harcos I strengthened a result of Taylor on associating Galois representations to cuspforms over imaginary quadratic fields. I further present a result (joint with Kris Klosin) on the modularity of ordinary, residually reducible Galois representations of imaginary quadratic fields.

 

My Evil Determinant Problem
Robin Chapman (University of Exeter)
11 Mar 2008Harrison 103 Tuesday 9amPure Mathematics (Internal)

 

Fundamental groups of hyperbolic curves and the principle of Birch and Swinnerton-Dyer
Minhyong Kim (University College, London)
6 Mar 2008Harrison 106 Thursday 3pmPure Mathematics

 

period domains, modular forms and lattices
Dr Gregory Sankaran (Bath University)
5 Mar 2008Harrison 101 Thursday 3pmPure Mathematics

 

Hopf-Galois Module Structure of Tame Extensions of Prime Power Degree
Paul Truman (University of Exeter)
4 Mar 2008Harrison 103 Tuesday 9amPure Mathematics (Internal)
A major result in local Galois module theory is Noether's Theorem, that given a finite Galois extension of local fields L/K, the ring of integers OL is free over the integral group ring OK[G] if and only L/K is at most tamely ramified. In Hopf-Galois module theory, the Galois group is replaced by a (possibly non-unique) Hopf algebra, giving a so-called Hopf-Galois structure on the extension, and the behaviour of OL in this Hopf-Galois structure is studied. We present a generalisation of Noether's Thereom to this setting for Galois extensions of prime power degree.

 

Arithmetic properties for partitions with non-repeating odd parts
James Sellers (Pennsylvania State)
28 Feb 2008Harrison 106 Thursday 3pmPure Mathematics

 

Some examples of local Galois module structure in characteristic 0 and characteristic $p$.
Nigel Byott (University of Exeter)
26 Feb 2008Harrison 103 Tuesday 9amPure Mathematics (Internal)
Let $L/K$ be a totally ramified abelian extension of local fields, with Galois group $G$. A basic question in Galois module structure is to determine when the valuation ring $S$ of $L$ is a free module over its associated order in the group algebra $K[G]$. When $K$ is a finite extension of $\mathbb{Q}_p$ (the characteristic $0$ case), Y.~Miyata has given a freeness criterion for a large family of {\em cyclic} extensions of degree $p^n$. In this talk, I will give an alternative formulation of Miyata's criterion, and will present work in progress (joint with Griff Elder), where the same freeness criterion arises for {\em elementary abelian} extensions of the field $K=\mathbb{F}_q((T))$ of formal Laurent series over a finite field (the characteristic $p$ case).

 

Growth in linear algebraic groups: an approach through incidence
Harald Helfgott (Bristol)
21 Feb 2008Harrison 106 Thursday 3pmPure Mathematics
Let K be R, C or a Z/pZ. Let G = SL_2(K). Not long ago, I proved the following theorem: for every subset A of G that is not contained in a proper subgroup, the set A\cdot A\cdot A is much larger than A. A generalisation to groups of higher rank was desired by many, but seemed hard to obtain. I shall now present a proof somewhat different from the first one. The role of both linearity and the group structure of G should now be clearer. A few ideas towards a generalisation will be discussed, with a focus on the case of SL_3(Z/pZ).

 

On The Rank of Classgroups of Quadratic Function Fields
Andreas Schwiezer (University of Exeter)
19 Feb 2008Harrison 103 Tuesday 9amPure Mathematics (Internal)

 

Semi-stable models of modular curves
Adam Joyce (Bristol)
14 Feb 2008Harrison 106 Thursday 3pmPure Mathematics

 

The anabelian geometry of Grothendieck
Mohamed Saidi (University Of Exeter)
5 Feb 2008Harrison 103 Tuesday 9amPure Mathematics (Internal)
I will explain what the Grothendieck anabelian conjectures are and how did Grothendieck come to them. I will give an overview on the state of these conjectures and my contribution to the subject.

 

The relative kernel group of an order and SK_1
Steve Wilson (Bristol)
31 Jan 2008Harrison 106 Thursday 3pmPure Mathematics

 

Vinogradov's three primes revisited
Andrew Booker (Bristol)
5 Dec 2007Harrison 106 Thursday 3pmPure Mathematics

 

Self-points on elliptic curves
Christian Wuthrich (Nottingham)
29 Nov 2007Harrison 106 Thursday 3pmPure Mathematics

 

Siegel modular forms and representation numbers of quadratic forms
Lynne Walling (Bristol)
22 Nov 2007Harrison 106 Thursday 3pmPure Mathematics
Number theorists love to count things, especially integral objects. An example is to count the number of ways an integral quadratic form represents each integer, where the variables of the quadratic form are only allowed to assume integral values. More generally, we can ask to count the number of ways a quadratic form represents a lower dimensional quadratic form. These representation numbers are encoded in the Fourier coefficients of generalized theta series, which are examples of modular forms. When counting representation numbers of integers, the associated theta series is a function of one complex variable, whereas to count representation numbers of rank n quadratic forms, the associated theta series is a function of an n by n symmetric complex matrix. We will discuss these theta series, with particular attention given to the Hecke operators and the information they provide regarding representation numbers.

 

Crystalline representation and F-crystals
Fabien Trihan (Nottingham)
16 Nov 2007Harrison 171 Friday 3pmPure Mathematics
Let K be a complete discrete valuation field of mixed characteristics. Assume its residue field has a finite p-basis. Then there exists an equivalence of category between the category of crystalline representations of the absolute Galois group of K, with Hodge-Tate weights in {0,1} and the Barsotti-Tate groups over the ring oif integers of K.

 

Computing the Brauer-Manin obstruction
Martin Bright (Bristol)
1 Nov 2007Harrison 106 Thursday 3pmPure Mathematics

 

Hodge structures on homotopy groups
Jonathan Pridham (Cambridge)
25 Oct 2007Harrison 106 Thursday 3pmPure Mathematics

 

A Jacquet-Langlands correspondence in weight 1
Lloyd Kilford (Bristol)
18 Oct 2007Harrison 106 Thursday 3pmPure Mathematics
We will give a brief introduction to quaternionic modular forms, and present the results of explicit computations relating quaternionic and classical modular forms of weight 1 (using a form of the Jacquet-Langlands correspondence). This is joint work with Kevin Buzzard

 

Wild ramification in extra-special extensions
Griff Elder (Virginia Tech / University of Nebraska at Omaha)
21 Jun 2007Harrison 106 Thursday 2pmPure Mathematics
It was observed, with J. Hooper, that sharp lower bounds for the largest ramification break number in quaternion extensions of dyadic local number fields depend upon the refined ramification filtration, as defined with N. Byott. Moreover, quaternion counter-examples to the conclusion of Hasse-Arf require that this refined filtration be extreme in two different ways. In this talk, we will extend these results to a more general class of non-abelian extensions that includes extra-special extensions. To keep complications to a minimum, we will work over characteristic $p$ local fields.

 

Statistics of elliptic curves over finite fields
Ernst-Ulrich Gekeler (University of Saarbruecken)
24 May 2007Harrison 106 Thursday 3pmPure Mathematics

 

Which overconvergent Hilbert modular forms are classical?
Shu Sasaki (Imperial College London)
17 May 2007Harrison 106 Thursday 3pmPure Mathematics

 

On canonical subgroups of abelian varieties
Payman Kassaei (Kings College London)
10 May 2007Harrison 106 Thursday 3pmPure Mathematics

 

Witt-groups of constructible derived categories
Jonathan Woolf (Liverpool)
3 May 2007Harrison 106 Thursday 3pmPure Mathematics

 

On the continuous part of codimension 2 algebraic cycles on certain threefolds
Volodya Guletskii (University of Liverpool)
26 Apr 2007Harrison 106 Thursday 3pmPure Mathematics

 

TBA
Shaun Stevens (East-Anglia)
29 Mar 2007Harrison 106 Thursday 3pmPure Mathematics

 

TBA
Ahmed Abbes (Paris)
15 Mar 2007Harrison 106 Thursday 3pmPure Mathematics

 

Cohomology of locally analytic representations
Jan Kohlhaase (Muenster)
9 Mar 2007Harrison TBA Friday TBAPure Mathematics

 

On the p-adic elliptic polylogarithm and the two-variable p-adic L-function for an CM-elliptic curve
Kenichi Bannai (Nagoya/Paris)
1 Mar 2007Harrison 106 Thursday 3pmPure Mathematics

 

Potentially crystalline representaions and p-adic representations of GL_2.
Matthias Strauch (Cambridge)
23 Feb 2007Harrison TBA Friday TBAPure Mathematics

 

On the continuous part of codimension two algebraic cycles on certain threefolds over a field
Volodya Guletskii (University Of Liverpool)
15 Feb 2007Harrison 106 Thursday 3pmPure Mathematics
Let X be a non-singular projective threefold over a field with resolution of singularities, and let A^2(X) be the group of algebraically trivial codimension 2 algebraic cycles on X modulo rational equivalence with coefficients in Q. Assume X is birationally equivalent to another threefold X' admitting a fibration over a curve whose generic fiber F satisfies the following three conditions: (i) the motive M(F) is finite-dimensional, (ii) for l-adic etale cohomology H^1(F)=0 and (iii) H^2(F) is spanned by divisors on F. We prove that, provided these three assumptions, the group A^2(X) is weakly representable: there exists a curve Y and a correspondence z from Y to X, such that z induces an epimorphism A^1(Y) --> A^2(X), where A^1(Y) is isomorphic to Pic^0(Y) tensored with Q. In particular, the result holds for threefolds birational to three-dimensional Del Pezzo fibrations over a curve.

 

Upper triangular technology and the Arf-Kervaire invariant
Victor Snaith (University Of Sheffield)
1 Feb 2007Harrison 106 Thursday 3pmPure Mathematics
This is a talk about an old topology problem in the theory of the homotopy groups of spheres. I will do my best to make it entertaining for non-specialists with emphasis on (i) mathematical history and (ii) the simple algebra which Upper Triangular Technology transforms the topology in.

 

On McRae's Invariant
Prof Peter Vamos (University Of Exeter)
4 Dec 2006Harrison 209 Monday 3pmPure Mathematics (Internal)

 

Arithmetic conjectures on algebraic cycles
Prof Andreas Langer (University Of Exeter)
20 Nov 2006Harrison 209 Monday 3pmPure Mathematics (Internal)

 

Realizable Galois Module Classes for some Nonabelian Extensions
Dr Nigel Byott (University Of Exeter)
13 Nov 2006Harrison 209 Monday 3pmPure Mathematics (Internal)

 

Hopf-Galois Module Structure Of Tame Biqaudratic Extensions
Paul Truman (University Of Exeter)
6 Nov 2006Harrison 102 Monday 3pmPure Mathematics (Internal)

 

Syntomic cohomology and explicit reciprocity laws
Hannu Harkonen (University of Cambridge)
25 May 2006Harrison 106 Thursday 5pmPure Mathematics

 

Serre's conjectures over totally real fields
Frazer Jarvis (Sheffield)
25 May 2006Harrison 106 Thursday 3pmPure Mathematics

 

Counting Hopf-Galois Structures
Nigel Byott (University Of Exeter)
22 May 2006Harrison 103 Tuesday NonePure Mathematics (Internal)

 

A conjectural relative fixed point formula
Damian Roessler (Paris)
18 May 2006Harrison 106 Thursday 3pmPure Mathematics

 

The sheaf of overconvergent Witt Vectors
Prof Andreas Langer (University Of Exeter)
15 May 2006Harrison 103 Tuesday NonePure Mathematics (Internal)

 

Rigid syntomic cohomology with coefficients and applications
Kenichi Bannai (Paris)
11 May 2006Harrison 106 Thursday 3pmPure Mathematics

 

On the torsion of elliptic curves over sufficiently general function fields
Andreas Schweizer (University Of Exeter)
8 May 2006Harrison 103 Tuesday NonePure Mathematics (Internal)

 

Generalized Coleman power series in K2
Sarah Zerbes (Paris)
4 May 2006Harrison 106 Thursday 3pmPure Mathematics

 

Equivariant vector-bundles on p-adic symmetric spaces
Elmar Grosse-Kloenne (Muenster)
16 Mar 2006Harrison 106 Thursday 3pmPure Mathematics

 

P-D Structures
Prof Andreas Langer (University Of Exeter)
13 Mar 2006Harrison 103 Tuesday NonePure Mathematics (Internal)

 

The Ring Of Witt-Vectors
Prof Andreas Langer (Universty of Exeter)
6 Mar 2006Harrison 103 Tuesday NonePure Mathematics (Internal)

 

Galois-module structure of a cyclic extension: on a result of Miyata
Nigel Byott (University of Exeter)
23 Feb 2006Harrison 106 Thursday 3pmPure Mathematics

 

Galois-module structure of a cyclic extension: on a result of Miyata
Nigel Byott (University Of Exeter)
23 Feb 2006Laver B74 Thursday 3pmPure Mathematics (Internal)

 

On the power of linear dependences
Imre Barany (London)
16 Feb 2006Harrison 106 Thursday 3pmPure Mathematics

 

Real K3 surfaces
V. Nikulin (Liverpool)
9 Feb 2006Harrison 106 Thursday 3pmPure Mathematics
Up to deformation, there are three real types of elliptic curves which depend on the number of real ovals: 0, 1 or 2. All elliptic curves are hyper-elliptic, and their real forms can be obtained by the double covering of P^1/R ramified in four points, some of them conjugate. This gives equations of real elliptic curves.
K3 surfaces give a 2-dimensional generalization of elliptic curves. What about similar results for them? This will be the subject of the talk.

 

Hopf-Galois Module Structure of Tame Biquadratic Fields
Paul Truman (University Of Exeter)
6 Feb 2006Harrison 103 Tuesday NonePure Mathematics (Internal)

 

Congruence kernels in arithmetic lattices
Alec Mason (Glasgow)
2 Feb 2006Harrison 106 Thursday 3pmPure Mathematics

 

Polynomial invariants of links, graphs, and matroids
S Huggett (Plymouth)
1 Dec 2005Harrison 106 Thursday 3pmPure Mathematics
We review the relationships between links, graphs, and matroids. In particular, given a planar graph there are two well-established methods of generating an alternating link diagram. Switching from one of these methods to the other corresponds in knot theory to tangle insertion in the link diagrams, and in combinatorics to the tensor product of the cycle matroids of the graphs. We show how the Jones and Tutte polynomials behave under these operations.

 

Heuristic Algorithms in Group Theory
M. Craven (Exeter)
24 Nov 2005Harrison 106 Thursday 3pmPure Mathematics

 

Stark units, Hilbert symbols and Stickelberger-like ideals at s=1
D. Salomon (Kings College London)
10 Nov 2005Harrison 106 Thursday 3pmPure Mathematics

 

Euler-characteristics of nearly perfect complexes
B. Koeck (Southampton)
3 Nov 2005Harrison 106 Thursday 3pmPure Mathematics

 

Solving conics over function fields
J. Cremona (Nottingham)
27 Oct 2005Harrison 106 Thursday 3pmPure Mathematics

 

Shared values of meromorphic functions on compact Riemann surfaces
A.Schweizer (Exeter)
13 Oct 2005Harrison 106 Thursday 3pmPure Mathematics

 

On Tsuzuki's approach to the Crew-conjecture
M.Lederer (Innsbruck)
6 Oct 2005Harrison 106 Thursday 3pmPure Mathematics

 

Classification of defect Artin-Schreier extensions
Franz-Viktor Kuhlmann (Saskatchewan & Newton Inst)
28 Jun 2005Harrison 106 Tuesday 10amPure Mathematics

 

Classification of defect Artin-Schreier extensions
Franz-Viktor Kuhlmann (Saskatchewan & Newton Inst)
28 Jun 2005Harrison 106 Tuesday 10amPure Mathematics

 

Ramification and Galois structure in 1-dimensional elementary abelian local extensions
Griff Elder (University of Nebraska at Omaha)
24 Jun 2005Harrison B93 Friday 3pmPure Mathematics

 

Faltings's strict modules: a characteristic p analogue of classical finite flat group schemes
Victor Abrashkin (Durham)
20 May 2005Harrison 106 Friday 5pmPure Mathematics

 

Counting orbits on colourings, flows, and codewords
Peter Cameron (Queen Mary)
5 May 2005Harrison 106 Thursday 3pmPure Mathematics

 

Inaugural Lecture - The World of Primes since Fermat
Professor Andreas Langer (University of Exeter)
28 Apr 2005Harrison LT3 Thursday 2pmPure Mathematics

 

Arithmetic progressions of primes
Ben Green (Bristol)
17 Mar 2005Harrison 106 Thursday 3pmPure Mathematics
Green and Tao recently announced a proof of the existence of arbitrarily long finite arithmetic progressions consisting entirely of primes. This is one of the biggest results in number theory in recent years. Ben Green will be talking about this work today.

 

Euler characteristics in relative algebraic K-groups
Manuel Breuning (Nottingham)
10 Mar 2005Harrison 106 Thursday 3pmPure Mathematics

 

The fundamental group scheme in characteristic p and the conjectures of Nori
Vikram Mehta (Tata Institute, Mumbai)
10 Mar 2005Harrison LT321 Thursday 10amPure Mathematics

 

The fundamental group of curves in positive characteristic
Mohamed Saidi (University of Exeter)
3 Mar 2005Harrison LT321 Thursday 10amPure Mathematics

 

On the p-adic regulator of varieties over p-adic fields
Dr Noriyuki Otsubo (Paris)
24 Feb 2005Harrison 106 Thursday 3pmPure Mathematics

 

Purity for p-divisible groups
Prof Thomas Zink (Bielefeld)
24 Feb 2005Harrison 106 Thursday 5pmPure Mathematics

 

Topological invariants of singular spaces
Burt Totaro (Cambridge)
17 Feb 2005Harrison 106 Thursday 3pmPure Mathematics

 

Picard groups of some module categories
Peter Vamos (University of Exeter)
3 Feb 2005Harrison 106 Thursday 3pmPure Mathematics

 

Random preorders
Dudley Stark (Queen Mary)
27 Jan 2005Harrison 106 Thursday 3pmPure Mathematics

 

On the Andre-Oort conjecture
Andrei Yafaev (University College, London)
9 Dec 2004Harrison 106 Thursday 3pmPure Mathematics
The Andre-Oort conjecture asserts that the Zariski closure of a set of special points in a Shimura variety is a subvariety of Hodge type. In this talk I will present recent results on this conjecture and an application to the transcendence theory of hypergeometric functions.

 

Iwasawa theory for elliptic curves at supersingular primes
Shinuchi Kobayashi (University of Paris)
2 Dec 2004Harrison 106 Thursday 3pmPure Mathematics

 

Isotropy of quadratic forms in finite and infinite dimension
Detlev Hoffmann (University of Nottingham)
25 Nov 2004Harrison 106 Thursday 3pmPure Mathematics

 

Semisymmetric cubic graphs
Chris Parker (University of Birmingham)
18 Nov 2004Harrison 106 Thursday 3pmPure Mathematics

 

Additive decompositions of the primes
Christian Elsholtz (Royal Holloway, University of London)
12 Nov 2004Harrison LT6 Friday 3pmPure Mathematics

 

Corings and Galois theory
Tomasz Brzezinski (Swansea, University of Wales)
11 Nov 2004Harrison 106 Thursday 3pmPure Mathematics

 

Companion forms
Toby Gee (Imperial College, London)
4 Nov 2004Harrison 106 Thursday 3pmPure Mathematics

 

$p$-groups and semistable reduction of curves
Mohamed Saidi (University of Exeter)
28 Oct 2004Harrison 106 Thursday 3pmPure Mathematics

 

Introduction to de Rham-Witt cohomology
Andreas Langer (University of Exeter)
26 Oct 2004Harrison B93 Tuesday 3pmPure Mathematics

 

Beilinson's conjecure for $K_2$ of certain (hyper)elliptic curves
Rob de Jeu (University of Durham)
21 Oct 2004Harrison 106 Thursday 3pmPure Mathematics

 

To be announced
Adam Epstein (Warwick)
27 Nov 2003Harrison 106 Thursday 3pmPure Mathematics

 

To be announced
Adam Epstein (Warwick)
27 Nov 2003Harrison 106 Thursday 3pmPure Mathematics

 

To be announced
Daniel Delbourgo (Nottingham)
13 Nov 2003Harrison 106 Thursday 3pmPure Mathematics

 

To be announced
Daniel Delbourgo (Nottingham)
13 Nov 2003Harrison 106 Thursday 3pmPure Mathematics

 

To be announced
Alan Camina (UEA)
6 Nov 2003Harrison 106 Thursday 3pmPure Mathematics

 

To be announced
Alan Camina (UEA)
6 Nov 2003Harrison 106 Thursday 3pmPure Mathematics

 

To be announced
Victor Flynn (Liverpool)
30 Oct 2003Harrison 106 Thursday 3pmPure Mathematics

 

To be announced
Victor Flynn (Liverpool)
30 Oct 2003Harrison 106 Thursday 3pmPure Mathematics

 

To be announced
Sophie Huczysnka (Edinburgh)
23 Oct 2003Harrison 106 Thursday 3pmPure Mathematics

 

To be announced
Sophie Huczysnka (Edinburgh)
23 Oct 2003Harrison 106 Thursday 3pmPure Mathematics

 

To be announced
Tom Korner (Cambridge)
16 Oct 2003Harrison 106 Thursday 3pmPure Mathematics

 

To be announced
Tom Korner (Cambridge)
16 Oct 2003Harrison 106 Thursday 3pmPure Mathematics

 

The AKS algorithm
Robin Chapman (University of Exeter)
21 May 2003Harrison 103 Tuesday NonePure Mathematics (Internal)

 

To be announced
Rahman Bahmani Sangsari (University of Exeter)
14 May 2003Harrison 103 Tuesday NonePure Mathematics (Internal)

 

To be announced
Julie Fowler (University of Exeter)
7 May 2003Harrison 103 Tuesday NonePure Mathematics (Internal)

 

Cuntz and Leavitt algebras
Peter VŠmos (University of Exeter)
30 Apr 2003Harrison 103 Tuesday NonePure Mathematics (Internal)

 

Infinite Designs
Bridget Webb (Open University)
20 Mar 2003Harrison 106 Thursday 3pmPure Mathematics
Infinite designs are quite rare in the literature--most books on design theory have no mention of them at all. In this talk I will present a brief history of infinite designs, give a precise definition, and compare some properties of finite and infinite designs.

 

Cuntz and Leavitt algebras - (POSTPONED)
Peter VŠmos (University of Exeter)
19 Mar 2003Harrison 103 Tuesday NonePure Mathematics (Internal)

 

Convergence groups and Hausdorff dimension
James Anderson (Southampton)
13 Mar 2003Harrison 106 Thursday 3pmPure Mathematics

 

Asymptotics of class numbers
Anton Deitmar (University of Exeter)
12 Mar 2003Harrison 103 Tuesday NonePure Mathematics (Internal)

 

The McKay correspondence in dimension 3
Alistair King (Bath)
6 Mar 2003Harrison 106 Thursday 3pmPure Mathematics

 

Hermitian structures on lattices
Robin Chapman (University of Exeter)
5 Mar 2003Harrison 103 Tuesday NonePure Mathematics (Internal)

 

The Arithmetic of Quadratic Recurrence Sequences
Graham Everest (East Anglia)
27 Feb 2003Harrison 106 Thursday 3pmPure Mathematics

 

Generalized blocks for symmetric groups
Geoffrey Robinson (Birmingham)
20 Feb 2003Harrison 106 Thursday 3pmPure Mathematics

 

Paths in the cube
Imre Leader (Cambridge)
13 Feb 2003Harrison 106 Thursday 3pmPure Mathematics

 

Mapping class groups and Teichmuller spaces
William Harvey (King's College)
30 Jan 2003Harrison 106 Thursday 3pmPure Mathematics

 

Symmetric squares of elliptic curves: evidence for the Bloch-Kato Conjecture
Neil Dummigan (Sheffield)
23 Jan 2003Harrison 106 Thursday 3pmPure Mathematics

 

Free Lie algebras as modules for finite groups
Ralph Stohr (UMIST)
16 Jan 2003Harrison 106 Thursday 3pmPure Mathematics

 

Geometric approach to the distribution of n**2 alpha mod 1
Jens Marklof (Bristol)
5 Dec 2002Harrison 106 Thursday 3pmPure Mathematics

 

Functorial aspects of the unit sum number of rings
Nahid Ashrafi (University of Exeter)
4 Dec 2002Harrison 103 Tuesday NonePure Mathematics (Internal)

 

Topological invariants for quasicrystals
John Hunton (Leicester)
28 Nov 2002Harrison 106 Thursday 3pmPure Mathematics

 

Totally and weakly ramified extensions
Lee Jackson (University of Exeter)
27 Nov 2002Harrison 103 Tuesday NonePure Mathematics (Internal)

 

Iwasawa algebras and arithmetic
John Coates (Cambridge)
21 Nov 2002Harrison 106 Thursday 3pmPure Mathematics

 

Non-Abelian Iwasawa Theory and Elliptic Curves, Theory and Examples
Susan Howson (Oxford)
14 Nov 2002Harrison 106 Thursday 3pmPure Mathematics

 

Simple groups and Hopf-Galois structures
Nigel Byott (University of Exeter)
13 Nov 2002Harrison 103 Tuesday NonePure Mathematics (Internal)

 

Topological Hochschild cohomology of noncommutative ring spectra
Andrey Lazarev (Bristol)
7 Nov 2002Harrison 106 Thursday 3pmPure Mathematics

 

Starks conjecture and new Stickelberger phenomena
Vic Snaith (Southampton)
31 Oct 2002Harrison 106 Thursday 3pmPure Mathematics

 

Commuting superline maps
Ben Mestel (University of Exeter)
30 Oct 2002Harrison 103 Tuesday NonePure Mathematics (Internal)

 

Random matrix theory and L-functions
Jon Keating (Bristol)
24 Oct 2002Harrison 106 Thursday 3pmPure Mathematics

 

Mixing and Diophantine problems
Tom Ward (UEA)
10 Oct 2002Harrison 106 Thursday 3pmPure Mathematics

 

Counting subgroups in nilpotent groups and points on elliptic curves
Marcus du Sautoy (Oxford)
18 Jun 2002Harrison 106 Thursday 3pmPure Mathematics

 

Complex and p-adic Stark Conjectures at s=1
David Solomon (Kings College)
13 Jun 2002Harrison 106 Thursday 3pmPure Mathematics

 

'Invariant extension of automorphic functions, differential intertwining operators and Jacobi polynomials'
Andreas Juhl (Stockholm)
6 Jun 2002Harrison 106 Thursday 3pmPure Mathematics

 

Conformal geometry and Clifford algebras
Fran Burstall (Bath)
30 May 2002Harrison 106 Thursday 3pmPure Mathematics

 

The Hasse principle for Diophantine equations
Alexei Skorobogatov (Imperial)
23 May 2002Harrison 106 Thursday 3pmPure Mathematics

 

Higher power residue codes and unimodular lattices
Mehrdad Ahmadzadeh-Raji (University of Exeter)
21 May 2002Harrison 103 Tuesday NonePure Mathematics (Internal)

 

Galois covers of degree p and semi-stable reduction of curves
Mohamed SaÔdi (Durham)
16 May 2002Harrison 106 Thursday 3pmPure Mathematics

 

New quadratic iterations to Pi
Heng Huat Chan (National U Singapore)
9 May 2002Harrison 106 Thursday 3pmPure Mathematics

 

Constructing Hopf orders to act on valuation rings
Julie Fowler (University of Exeter)
7 May 2002Harrison 103 Tuesday NonePure Mathematics (Internal)

 

Pisot numbers and Coxeter graphs
Chris Smyth (Edinburgh)
2 May 2002Harrison 106 Thursday 3pmPure Mathematics

 

The Kubota symbol on SL_n
Richard Hill (UCL)
25 Apr 2002Harrison 106 Thursday 3pmPure Mathematics

 

'Paperfolding, automata, and rational functions'
Alf van der Poorten (Sydney)
14 Mar 2002Harrison 106 Thursday 3pmPure Mathematics

 

Determining matroid representability over the reals
Rosemary Baines (University of Exeter)
12 Mar 2002Harrison 103 Tuesday NonePure Mathematics (Internal)

 

Beyond Borel-Cantelli
Maurice Dodson (York)
7 Mar 2002Harrison 106 Thursday 3pmPure Mathematics

 

On the matrix type of a ring
Rahman BahmaniSangesari (University of Exeter)
5 Mar 2002Harrison 103 Tuesday NonePure Mathematics (Internal)

 

Torsion theory and co-Cohen-Macaulay modules
Mohammad Bijan-Zadeh (University of Tehran)
26 Feb 2002Harrison 103 Tuesday NonePure Mathematics (Internal)

 

Polylogarithms and special values of L-functions
Guido Kings (Regensburg)
21 Feb 2002Harrison 106 Thursday 3pmPure Mathematics

 

Homology decompositions of classifying spaces
Dietrich Notbohm (Leicester)
14 Feb 2002Harrison 106 Thursday 3pmPure Mathematics

 

Local analogue of the Grothendieck Conjecture
Victor Abrashkin (Durham)
7 Feb 2002Harrison 106 Thursday 3pmPure Mathematics

 

Realisable classes of wild extensions
Lee Jackson (University of Exeter)
5 Feb 2002Harrison 103 Tuesday NonePure Mathematics (Internal)

 

Rings generated by Eulerian derivatives
David Jordan (Sheffield)
31 Jan 2002Harrison 106 Thursday 3pmPure Mathematics

 

On globally periodic solutions of the difference equation $x_{n+1} = f(x_n)/x_{n-1}$
Ben Mestel (University of Exeter)
29 Jan 2002Harrison 103 Tuesday NonePure Mathematics (Internal)

 

'Ergodic averages, exponential sums and combinatorial number theory'
Kit Nair (Liverpool)
24 Jan 2002Harrison 106 Thursday 3pmPure Mathematics

 

The Fermat equation over real quadratic fields
Frazer Jarvis (Sheffield)
17 Jan 2002Harrison 106 Thursday 3pmPure Mathematics

 

Goldbach's conjecture and powers of 2
Roger Heath-Brown (Oxford)
6 Dec 2001Harrison 106 Thursday 3pmPure Mathematics

 

A golden mean functional recurrence
Ben Mestel (University of Exeter)
4 Dec 2001Harrison 103 Tuesday NonePure Mathematics (Internal)

 

Lower and Upper Bounds in Discrepancy Theory
William Chen ('Macquarie University, Sydney')
29 Nov 2001Harrison 106 Thursday 3pmPure Mathematics

 

Realisable classes for tame non-abelian extensions of degree 8
Nigel Byott (University of Exeter)
27 Nov 2001Harrison 103 Tuesday NonePure Mathematics (Internal)

 

Schur Weyl duality and tilting theory
Steffen Koenig (Leicester)
22 Nov 2001Harrison 106 Thursday 3pmPure Mathematics

 

A family of equivariant Fredholm modules
Stuart Horswell (University of Exeter)
20 Nov 2001Harrison 103 Tuesday NonePure Mathematics (Internal)

 

Do we really live in a Riemannian world?
Dmitri Vassiliev (Bath)
15 Nov 2001Harrison 106 Thursday 3pmPure Mathematics

 

A probabilistic proof of the Andrews-Gordon identities
Robin Chapman (University of Exeter)
13 Nov 2001Harrison 103 Tuesday NonePure Mathematics (Internal)

 

Transversals in Latin Squares
Ian Wanless (Oxford)
8 Nov 2001Harrison 106 Thursday 3pmPure Mathematics

 

Endomorphisms of free modules of infinite rank
Peter V'{a}mos (University of Exeter)
6 Nov 2001Harrison 103 Tuesday NonePure Mathematics (Internal)

 

Probability and learning
Igor Rivin (Manchester)
25 Oct 2001Harrison 106 Thursday 3pmPure Mathematics

 

Mellin transforms of Whittaker functions
Anton Deitmar (University of Exeter)
23 Oct 2001Harrison 103 Tuesday NonePure Mathematics (Internal)

 

Rings of injective dimension 1
Arthur Chatters (Bristol)
18 Oct 2001Harrison 106 Thursday 3pmPure Mathematics

 

Saturating Mordell-Weil groups
John Cremona (Nottingham)
11 Oct 2001Harrison 106 Thursday 3pmPure Mathematics

 

Are there any (interesting) non-commutative Hopf orders?
Nigel Byott (University of Exeter)
26 Jun 2001Harrison 103 Tuesday NonePure Mathematics (Internal)

 

From matroids to equations and back
Peter Vamos (University of Exeter)
19 Jun 2001Harrison 103 Tuesday NonePure Mathematics (Internal)

 

Families of modular forms
Kevin Buzzard (Imperial College)
14 Jun 2001Harrison 106 Thursday 3pmPure Mathematics

 

Generalizing the analytic class number formula
Annette Huber-Klawitter (Leipzig)
7 Jun 2001Harrison 106 Thursday 3pmPure Mathematics

 

Quantisations of Kleinian Singularities and Beyond
Dmitriy Rumynin (Warwick)
31 May 2001Harrison 106 Thursday 3pmPure Mathematics

 

Refined class number formulas for abelian L-functions
David Burns (King's College)
24 May 2001Harrison 106 Thursday 3pmPure Mathematics

 

Lefschetz formulae for dynamical systems
Anton Deitmar (University of Exeter)
22 May 2001Harrison 103 Tuesday NonePure Mathematics (Internal)

 

Principal homogeneous spaces for some Hopf orders
Silvia Sommaro (University of Exeter)
15 May 2001Harrison 103 Tuesday NonePure Mathematics (Internal)

 

Bending Kleinian Groups
Caroline Series (Warwick)
10 May 2001Harrison 106 Thursday 3pmPure Mathematics

 

Invariant distributions on limit sets
Martin Olbrich (Goettingen)
3 May 2001Harrison 106 Thursday 3pmPure Mathematics

 

Bizarre q-series identities
Robin Chapman (University of Exeter)
1 May 2001Harrison 103 Tuesday NonePure Mathematics (Internal)

 

One hundred years of normal numbers
Glyn Harman (Royal Holloway)
26 Apr 2001Harrison 106 Thursday 3pmPure Mathematics

 

The 200th proof of quadratic reciprocity?
Robin Chapman (University of Exeter)
20 Mar 2001Harrison 103 Tuesday NonePure Mathematics (Internal)

 

Symmetric powers of Galois modules
Bernhard Koeck (University of Southampton)
15 Mar 2001Harrison 106 Thursday 3pmPure Mathematics

 

Galois Module Structure of some non-normal extensions (of p-adic fields)
Julie Fowler (University of Exeter)
13 Mar 2001Harrison 103 Tuesday NonePure Mathematics (Internal)

 

Rings having finite unit sum number
Nahid Ashrafi (University of Exeter)
8 Mar 2001Harrison 103 Tuesday NonePure Mathematics (Internal)

 

Derangements and (0,1) matrices with line sum 2
Douglas Rogers
6 Mar 2001Harrison 103 Tuesday NonePure Mathematics (Internal)

 

Characteristic classes of surface bundles
Ulrike Tillmann (University of Oxford)
1 Mar 2001Harrison 106 Thursday 3pmPure Mathematics

 

Higher power residue codes and the Leech lattice
Mehrdad Ahmadzadeh-Raji (University of Exeter)
27 Feb 2001Harrison 103 Tuesday NonePure Mathematics (Internal)

 

Prehomogeneous vector spaces and the trace formula
Werner Hoffman (University of Berlin)
22 Feb 2001Harrison 106 Thursday 3pmPure Mathematics

 

Almost Unique Factorisation Domains
Peter V'{a}mos (University of Exeter)
20 Feb 2001Harrison 103 Tuesday NonePure Mathematics (Internal)

 

Probabilistic structures in Dynamics
Stefano Luzatto (Imperial College)
15 Feb 2001Harrison 106 Thursday 3pmPure Mathematics

 

Crystallographic groups and Milnor's conjecture
Dietrich Burde (Dusseldorf)
13 Feb 2001Harrison 103 Tuesday NonePure Mathematics (Internal)

 

Cyclic homology and the Baum-Connes conjecture
Michael Puschnigg (University of Munster)
8 Feb 2001Harrison 106 Thursday 3pmPure Mathematics

 

Krull-Schmidt theorem, Goldie dimensions and uniserial modules
Alberto Facchini (University of Padua)
6 Feb 2001Harrison 103 Tuesday NonePure Mathematics (Internal)

 

The matrix group recognition project
Charles Leedham-Green (QMW)
1 Feb 2001Harrison 106 Thursday 3pmPure Mathematics

 

Class numbers of cubic orders
Anton Deitmar (University of Exeter)
30 Jan 2001Harrison 103 Tuesday NonePure Mathematics (Internal)

 

Rational Points Close to Curves
Martin Huxley (University of Cardiff)
25 Jan 2001Harrison 106 Thursday 3pmPure Mathematics

 

A contraction mapping proof of Schroeder's theorem
Ben Mestel (University of Exeter)
23 Jan 2001Harrison 103 Tuesday NonePure Mathematics (Internal)

 

Symmetric group representations
Gordon James (Imperial College)
18 Jan 2001Harrison 106 Thursday 3pmPure Mathematics

 

Integration on non-locally compact spaces and local L-functions of arithmetic schemes
Ivan Fesenko (University of Nottingham)
11 Jan 2001Harrison 106 Thursday 3pmPure Mathematics