Previous Conferences & Workshops

Following Birkhoff's proof of the Pointwise Ergodic Theorem, it has been studied whether convergence still holds along various subsequences. In 2020, Bergelson and Richter showed that under the additional assumption of unique ergodicity, pointwise...

Lecture 1: 10:15-11:15

On The Cover Time of Random Walks on Graphs

How long does it take for a random walk to cover all the vertices of a graph? 

And what is the structure of the uncovered set (the set of points not yet visited by the walk) close...

Orbits of many coregular representations of algebraic groups are closely linked to moduli spaces of genus one curves with extra data. We may use these orbit parametrizations to compute the average size of Selmer groups of elliptic curves in certain...

Abstract: In 2010, Larry Guth wrote a beautiful essay "Metaphors in systolic geometry", where he poetically described several approaches to Gromov's celebrated systolic inequality. A nontrivial special case of this inequality claims that a...

Horospherical group actions on homogeneous spaces are famously known to be extremely rigid. In finite volume homogeneous spaces, it is a special case of Ratner’s theorems that all horospherical orbit closures are homogeneous. Rigidity further...

Graph Crossing Number is a fundamental and extensively studied problem with wide ranging applications. In this problem, the goal is to draw an input graph $G$ in the plane so as to minimize the number of crossings between the images of its edges...

Many cohomology theories in algebraic geometry, such as crystalline and syntomic cohomology, are not homotopy invariant. This is a shame, because it means that the stable motivic homotopy theory of Morel--Voevodsky cannot be employed in studying the...

Given a flow on a manifold, how to perturb it in order to create a periodic orbit passing through a given region? While the first results in this direction were obtained in the 1960-ies, various facets of this question remain largely open. I will...