Previous Conferences & Workshops

The three problems referred to in the title originate in the theory of von Neumann algebras, C* algebras, and quantum information theory respectively. Each of them has been a deep long-standing open problem in its respective area. Surprisingly, the...

Aru Abstract: In the first story we wonder about the ubiquity of the free field and look at a few characterisation theorems. In the second story we discuss the mutually benefiting relationship between the discrete free field and the O(N) spin model...

Given an automorphic representation \pi of SO(n,n+1) with certain nice properties at infinity, one can nowadays attach to \pi a p-adic Galois representation R of dimension 2n. The Bloch--Kato conjectures then predict in particular that if the L...

The goal of this talk is to present two problems related to wandering domains. I will define the participating objects, and give a historical overview of what was done and what is left to do to solve these problems. 

No basic knowledge in complex...

We consider general two-dimensional autonomous velocity fields and prove that their mixing and dissipation features are limited to algebraic rates. As an application, we consider a standard cellular flow on a periodic box, and explore potential...

Sets of recurrence were introduced by Furstenberg in the context of ergodic theory and have an equivalent combinatorial characterization as intersective sets, an observation which has led to interesting connections between these areas.

Originally...

Complex dynamics explores the evolution of points under iteration of functions of complex variables. In this talk I will introduce into the context of complex dynamics, a new approximation tool allowing us to construct new examples of entire...

Suppose you have a set A of integers from {1, 2, …, N} that contains at least N / C elements.  Then for large enough N, must A contain three equally spaced numbers (i.e., a 3-term arithmetic progression)? 

In 1953, Roth showed that this is indeed...