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Zeta functon of F-gauges and special values

Speaker: Shubhodip Mondal

Date: Thu, Feb 6, 2025

Location: PIMS, University of Calgary

Conference: UCalgary Algebra and Number Theory Seminar

Subject: Mathematics, Algebraic Geometry, Number Theory

Class: Scientific

Abstract:

In 1966, Tate proposed the Artin–Tate conjectures, which expresses special values of zeta function associated to surfaces over finite fields. Conditional on the Tate conjecture, Milne–Ramachandran formulated and proved similar conjectures for smooth proper schemes over finite fields. The formulation of these conjectures already relied on other unproven conjectures. In this talk, I will discuss an unconditional formulation and proof of these conjectures.