Back to Departmental Colloquium: Fall 1999
Departmental Colloquium
Date: Thursday, Sep 23, 1999
Time: 4:15PM
Location: JWB 335
Matthew Emerton
Michigan
Title |
L-functions with p-adic coefficients in characteristic p |
Abstract |
Zeta functions, and more generally L -functions, have long played an important role in number theory. While the classical L -functions attached to algebraic number fields continue remain to some extent quite mysterious, geometric methods have yielded much insight into L -functions attached to algebraic varieties defined over finite fields. In this talk we will discuss some of these geometric techniques and the consequent results concerning L -functions, and in particular explain a new result along these lines, due to the speaker and Mark Kisin, which applies to L -functions with p -adic coefficients in characteristic p. |
Number Theory
Algebraic Geometry