# 2000 Bowen Lectures

*The 2000 Bowen Lectures will be delivered by Don Zagier on October 10, 11, and 12.*

Department of Mathematics, University of California, Berkeley, presents

The 2000 Bowen Lectures

Don Zagier

Scientific Member and Director

Max Planck Institute for Mathematics

Bonn, Germany

and

Professor of Mathematics

University of Utrecht, Netherlands

**"Periods and Special Values of L-Functions"
Tuesday, October 10**

Sibley Auditorium - 4:10pm-5:00pm

**Wednesday, October 11**

100 Lewis Hall - 4:10pm-5:00pm

**Thursday, October 12**

Sibley Auditorium - 4:10pm-5:00pm

A "period" is a number which can be expressed as the integral of an algebraic function over an algebraic domain, like pi, log 2, or zeta(3). This class of numbers, far larger than the class of algebraic numbers but still countable and in some sense algorithmically accessible, plays an important role in many questions of number theory and algebraic geometry. The lectures will discuss some of these, most notably the conjectured and known expressions for special values of arithmetic L-functions and their derivatives in terms of periods, with an emphasis on examples and on open problems.

**Reception in 1015 Evans after Tuesday's lecture.**