Previous Conferences & Workshops

Oct
15
2007

Computer Science/Discrete Mathematics Seminar I

Extractors and Rank Extractors for Polynomial Sources
11:15am|S-101

In this work we construct explicit deterministic extractors from polynomial sources, namely from distributions sampled by low degree multivariate polynomials over finite fields. This naturally generalizes previous work on extraction from affine...

Oct
11
2007

Joint IAS/Princeton University Number Theory Seminar

Counting Points on Igusa Varieties and Stabilization
4:15pm|S-101

In the beginning we review the classical method of computing the cohomology of PEL-type Shimura varieties with good reduction modulo p, and explain the tools that are useful for studying the bad reduction of compact Shimura varieties. Then we...

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...

Oct
11
2007

Fundamental Lemma

Fundamental Lemma
11:00am|S-101

In a series of lectures, I will discuss the proof of Langlands-Shelstad's fundamental lemma for Lie algebra. An overview will be given in the first lecture. In the following lectures, I will focuse on certain aspects of the geometry of the Hitchin...

Oct
10
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.