Previous Conferences & Workshops

Let $C$ be an algebraic curve over the rational numbers, that is, a 1-dimensional complex manifold that is defined by polynomial equations with rational coefficients. A celebrated result of Faltings implies that all algebraic points on $C$ come in...

Before the "geometric Satake equivalence" there was a decategorified version of it which however contained most of its essential features. In my talk I will talk about some of the ideas which have led to this theory. In particular I will explain the...

Several well-known open questions (such as: are all groups sofic/hyperlinear?) have a common form: can all groups be approximated by asymptotic homomorphisms into the symmetric groups $Sym(n)$ (in the sofic case) or the finite dimensional unitary...

I will discuss techniques, structural results, and open problems from two of my recent papers, in the context of a broader area of work on the motivating question: "how do we get the most from our data?"

In the first part of the talk, I will...

For the incompressible Navier-Stokes equations, classical results state that weak solutions are unique in the so-called Ladyzhenskaya-Prodi-Serrin regime. A scaling analysis suggests that classical uniqueness results are sharp, but current...

We present an overview of elementary methods to study extensions of modular representations of various types of "groups". We shall begin by discussing actions of an elementary abelian $p$-group, $E = (Z/p)^r$, on finite dimensional vector spaces...

What combinatorial properties are likely to be satisfied by a random subspace over a finite field? For example, is it likely that not too many points lie in any Hamming ball of fixed radius? What about any combinatorial rectangle of fixed side...

Yu-Wei Fan (Berkeley),Shifting numbers in triangulated categories
 
Abstract: One can consider endofunctors of triangulated categories as categorical dynamical systems, and study their long term behaviors under large iterations. There are (at least...