Previous Conferences & Workshops

Lecture 4. The Ax conjecture and degenerations. Originating with his studies on the logic of finite fields, James Ax conjectured that every PAC field is $C_1$. The recent proof of this in characteristic 0 is connected with degenerations of...

A fundamental problem in combinatorial optimization is the edge-disjoint paths problem (EDP). We are given a network and a collection of source-destination pairs in the network. The goal is to maximize the number of pairs that can be connected by...

A well known theorem of Duke states that the collection of all closed geodesics of a given discriminant on SL(2,Z) \ H becomes equidistributed as the discriminant goes to infinity and can be proved using subconvex estimates for L-functions...

Hermann Weyl Lecture

We will classify all unstable motivic operations from bidegree (2n,n) (with coefficients Z) to bidegree (p,q) with coefficients Z/l, l>2. All such operations are polynomials on the elements of the Steenrod Algebra. This work is based upon some...

A metal or ceramic is naturally decomposed into cells called "grains". The geometry of this cell complex influences the properties of the material. Some interesting mathematical problems arise in trying to understand the time evolution of these...

The talk is based on the joint work with Boris Doubrov. First we will describe a new rather effective procedure of symplectification for the problem of local equivalence of nonholonomic vector distributions. The starting point of this procedure is...

We will continue the proof of the following result: if A is a finite subset of a free group with at least two non-commuting elements then |AAA| is almost quadratic in |A|. Last week we reduced the problem to obtaining lower bounds on |ABC| when...

Joint with K. Wehrheim and, in the A-infinity version, with S. Mau. We construct a calculus of A-infinity functors for Lagrangian correspondences between monotone symplectic manifolds, and use it to define relative Floer invariants for three...