Previous Conferences & Workshops

In 1939, Mahler asked whether the product of the volumes of a centrally symmetric convex body and its polar is minimized by a cube. He gave a positive answer to this question in dimension 2. In this talk I will explain how this is related to...

Lower scalar curvature bounds on spin Riemannian manifolds exhibit remarkable rigidity properties determined by spectral properties of Dirac operators. For instance, a fundamental result of Llarull states that there is no smooth Riemannian metric on...

Given a topological dynamical system $(X,T)$ a bounded sequence $(a_n)$ and $f\in C(X)$ we are interested in the asymptotic behavior of $$\frac{1}{\sum_{n\leq N}|a_n|}\sum_{n\leq N}a_nf(T^nx)$$

This will be a survey talk about recent progress on pointwise convergence problems for multiple ergodic averages along polynomial orbits and their relations with the Furstenberg-Bergelson-Leibman conjecture.

Expander graphs are fundamental objects in theoretical computer science and mathematics. They have numerous applications in diverse fields such as algorithm design, complexity theory, coding theory, pseudorandomness, group theory, etc.

In this talk...

The notion of Schmidt rank/strength for a collection of m polynomials plays an important role in additive combinatorics, number theory and commutative algebra; high rank collections of polynomials are “psuedorandom”.  An arbitrary collection of...