Previous Conferences & Workshops

Let p_1,...,p_k be integer polynomials of one or several variables. There is a relation between the density of polynomial configurations a+p_1(n),...,a+p_k(n) in sets of integers and the form of the closure of the diagonal of X^k under the...

The aim of this talk is to introduce some of the technologies used in derived algebraic geometry. Beginning with an explanation of the notion of infinity-groupoid, I will develop the notion of infinity-categories. I will discuss the relationship...

I will discuss some applications of ideas from derived algebraic geometry (DAG) to representation theory in joint work with David Nadler. First I'll review the theory of Drinfeld centers of tensor categories and its generalization to derived...

We present a tradeoff between the length of a 3-query probabilistically checkable proof of proximity (PCPP) and the best possible soundness obtained by querying it. Consider the task of distinguishing between "good" inputs w \in {0,1}^n that are...

In this work we re-visit the question of building cryptographic primitives that remain secure even when queried on inputs that depend on the secret key. This was investigated by Black, Rogaway, and Shrimpton in the context of randomized encryption...

This is the first in a series of (probably) three talks whose goal is to understand Faltings’ paper "A p-adic Simpson correspondence". Roughly speaking, this is a correspondence between Higgs bundles over a smooth proper curve X over the field of p...