Previous Special Year Seminar

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...

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.

Jones-Witten knot invariants and, time permitting, Chern-Simons perturbation theory will be discussed.

This will be a discussion session for Gukov's talk, and/or a lecture on the background material, such as Gaussian integrals of the free theory, formal Feynman expansions etc.

An overview will be continued by a discussion of basic notions of quantum field theory (path integral, Feynman diagrams etc.)

The goal of the seminar is to cover the formalism of chiral algebras and related constructions that will be used in later talks in geometric Langlands seminar. In this talk an overview of representation theory of affine Lie algebras will be given...