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From Connes p.7: "One can then apply the ideas of algebraic geometry,
first developed over C, to the geometry of the curve...and obtain
a geometric interpretation of the basic properties of the zeta function
of k; the dictionary contains in particular the following lines:
There's a similarity with Deninger's approach here in that a link is suggested between the Riemann-Weil Explicit Formula and Lefschetz formulae
In a personal communication, A. Juhl wrote "The ideal case would be to understand the explicit formulas (as of the RZF) as Lefschetz formulas. And as you know, this was alos the idea of Connes' recent efforts."
On p.28 (Connes?) "...in particular the expected trace formula is
not a semi-classical formula but a Lefschetz formula in the spirit of
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