Columbia Mathematics Department Colloquium

``Values of zeta functions at negative integers and the dimensions

of spaces of modular forms"

by

Benedict Gross

Harvard University

Abstract:

Euler introduced the zeta function into number theory, and proved a number of beautiful results

on the values of the zeta function at negative integers, using clever techniques to sum divergent series.

I will review the modern theory, which uses analytic continuation to define these values, and relate

the values to the dimensions of certain spaces of modular forms.

April 15th, Wednesday, 5:00-6:00 pm

Mathematics 312

Tea will be served at 4:30pm