Previous Conferences & Workshops

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...

Determining the complexity of matrix multiplication is a fundamental problem of theoretical computer science. It is popularly conjectured that matrices can be multiplied in nearly-linear time. If true, this conjecture would yield similarly-fast...

Abstract:  Phenomena involving interactions of waves happen at different scales and in different media: from gravitational waves to the waves on the surface of the ocean, from our milk and coffee in the morning to infinitesimal particles that behave...

I will start by introducing and motivating the (two-component) Coulomb gas on the d-dimensional lattice $Z^d$. I will then present some puzzling properties of the fluctuations of this Coulomb gas. The connection of this model with integer-valued...