Joint Athens-Atlanta Number Theory - Moments of zeta and L-functions

Series
Other Talks
Time
Tuesday, February 1, 2011 - 4:00pm for 1 hour (actually 50 minutes)
Location
Emory University, Math and Science Center W201
Speaker
K. Soundararajan – Stanford University
Organizer
Matt Baker

Please Note: If you wish to drive your own car and park, the closest parking deck is attached to the Oxford Rd Building. There will be a charge for parking, which is $6 for 2-3 hours. Once you have parked, exit the parking garage into the building and there will be an elevator to your right. Take the elevator to level 3. You should take a left out of the elevator and proceed through the glass doors into the courtyard area. The Mathematics and Science Center will be the building to your left.

An important theme in number theory is to understand the values taken by the Riemann zeta-function and related L-functions. While much progress has been made, many of the basic questions remain unanswered. I will discuss what is known about this question, explaining in particular the work of Selberg, random matrix theory and the moment conjectures of Keating and Snaith, and recent progress towards estimating the moments of zeta and L-functions.