skip to main content

Number Theory Seminar

Thursday, January 25, 2024
4:00pm to 5:00pm
Add to Cal
Linde Hall 387
Zeta-values of arithmetic schemes
Baptiste Morin, Institut de Mathématiques, University of Bordeaux,

We give a conjectural description of Zeta-values of arithmetic schemes at $s=n$ for any integer $n\in\mathbb{Z}$, in terms of two perfect complexes of abelian groups. The first complex is called Weil-étale cohomology with compact support. The second complex can be thought of as derived de Rham cohomology modulo the Hodge filtration relatively to the sphere spectrum, and is defined using topological Hochschild homology. If time permits, we will state a similar formula for a certain product of Gamma-factors. It is joint work with Matthias Flach.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].