Previous Conferences & Workshops

We discuss an application of the SUSY approach to the analysis of spectral characteristics of hermitian and non hermitian random band matrices. In 1D case the obtained integral representations for correlation functions of characteristic polynomials...

It is known that a p-adic family of modular forms does not necessarily specialize into a classical modular form at weight one, unlike the modular forms of weight 2 or higher. We will explain how this obstruction to classicality leads to a "derived"...

I will describe the main ideas that go into the proof of the (unramified, global) geometric Langlands conjecture. All of this work is joint with Gaitsgory and some parts are joint with Arinkin, Beraldo, Chen, Faergeman, Lin, and Rozenblyum. I will...

In this talk, we will present a new approach for approximating large independent sets when the input graph is a one-sided expander—that is, the uniform random walk matrix of the graph has second eigenvalue bounded away from 1. Specifically, we show...

This talk will be about the polynomial method and its applications to questions that have traditionally been tackled by Fourier analysis, with emphasis on the Kakeya conjecture, the cap set problem, arithmetic progressions in dense sets, and the...

Prove the Grothendieck–Riemann–Roch theorem: first prove [And23, Satz 6.12] and then explain the sketch of the proof on [And23, p. 38] by proving the relevant statements from the second half of [CS22, Lecture 15].