Katedra Zastosowań Matematyki zaprasza na seminarium w poniedziałek 21 stycznia o godz 12:15 w sali 3/7.

Prelegent: Amitesh Datta (Princeton)
Tytuł: The Siegel Mass Formula and Tamagawa Numbers

Abstrakt: I will introduce the Siegel Mass Formula, which states (in a special case) that the solution to a certain counting problem of quadratic forms over the integers is equal to a product of special values of the Gamma and Riemann Zeta functions! I will interpret this formula in terms of Tamagawa numbers. If time permits, I will briefly discuss the relationship to counting principle G-bundles over an algebraic curve over a finite field. The talk will be elementary and motivated through concrete examples, beginning with a discussion of quadratic forms, and leading to the statement of the Siegel Mass Formula and related ideas.