Previous Conferences & Workshops

I will present two settings where $q$-De Rham and prismatic vector bundles can be described in terms of modules over an appropriate ring of $q$-twisted differential operators and also the relation with former results. 

This is a joint work with...

I will discuss recent progress on approximating the metric traveling salesperson problem, focusing on a line of work beginning in 2011 that studies the behavior of the max entropy algorithm. This algorithm is a randomized variant of the beautiful...

We describe a new theory of sheaves of rings of differential operators on the Witt-vectors on a smooth scheme characteristic p. Roughly speaking, these sheaves are to the de Rham-Witt complex as the usual sheaf of differential operators is to the de...

In the search for possible blow-up of the incompressible Navier-Stokes equations, there has been much recent attention on the class of axisymmetric solutions with swirl. Several interesting structures of this system have led to regularity criteria...

Introduce the notion of Verdier sequences of presentable stable $\infty$-categories and then discuss the behavior of dualizable $\infty$-categories in Verdier sequence; in particular, discuss Thomason's trick. Introduce the notion of localizing...

Given a compact Riemann surface, a classical theorem of of Narasimhan and Seshadri characterize vector bundles arising from unitary representations of the fundamental group as the polystable vector bundles of degree 0. Given a projective curve with...

The classical Birkhoff individual ergodic theorem states that in the presence of an ergodic invariant measure, almost every orbit is uniformly distributed with respect to the measure. For many applications (in particular to number theory), it is...