Previous Conferences & Workshops

We first describe mathematical foundation of DSGRN (Dynamic Signatures Generated by Regulatory Networks), an approach that provides a queryable description of global dynamics of a network over its entire param- eter space. We describe a connection...

Viterbo conjectured that a normalized symplectic capacity, on convex domains of a given volume, is maximized for the ball. A stronger version of this conjecture asserts that all normalized symplectic capacities agree on convex domains. Since...

A classical result identifies holomorphic modular forms with highest weight vectors of certain representations of $SL_2(\mathbb{R})$. We study locally analytic vectors of the (p-adically) completed cohomology of modular curves and prove a p-adic...

The Mumford-Shah functional has been introduced by Mumford and Shah in 1989 as a variational model for image reconstruction. Since then, it has been widely studied both from a theoretical and an applied point of view. In this talk we will focus on...

This is the second talk in a series of three talks on the derived Satake. I will give an overview of an article by Ginzburg which laid the foundational ideas for this equivalence.

In this talk I hope to explain how the representation theory of $GL_n(F_q)$ (with q being a power of p) in char. p, and also in mixed characteristic $(0,p)$, plays an important role in the theory of Galois representations and the Langlands program...

We will talk about a recent result of Jeff Kahn, Bhargav Narayanan, and myself stating that the threshold for the random graph G(n,p) to contain the square of a Hamilton cycle is 1/sqrt n, resolving a conjecture of Kühn and Osthus from 2012. For...