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

Series: 
Other Talks
Tuesday, February 1, 2011 - 16:00
1 hour (actually 50 minutes)
Location: 
Emory University, Math and Science Center W201
,  
Stanford University
Organizer: 

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.