Previous Special Year Seminar

Oct
23
2007

Geometric Langlands Duality

Whittaker Patterns in Global Unramified and Local Tamely Ramified Theories
10:00am|S-101

I will discuss some aspects of the proof of (most of) the unramified geometric Langlands duality conjecture for GL(n) by Gaitsgory (based on his work with Frenkel, Vilonen etc), and also the work in the direction of local tamely ramified duality.

Oct
18
2007

Mini-Course

Inverse Theorems and Random Matrices
2:00pm|S-101

It is an introduction to the topic. We would present several inverse theorems in additive number theory (starting with Freiman's) and some overview about their applications. Next, we discuss the connection between some of these and problems...

Oct
17
2007

Mini-Course

Sum-Products Estimates and Applications
2:00pm|S-101

It is an introduction to the topic. We would present a proof of the quantitative sum-product in F^p and the proof of the exponential sum bound + an overview of what's around.

Oct
11
2007

Mini-Course

Inverse Theorems and Random Matrices
2:00pm|S-101

It is an introduction to the topic. We would present several inverse theorems in additive number theory (starting with Freiman's) and some overview about their applications. Next, we discuss the connection between some of these and problems...