Previous Conferences & Workshops

The sign-rank of a real matrix M is the smallest rank of any real matrix whose entries have the same sign as the entries of M . We exhibit a 2^n x 2^n matrix computable by depth 2 circuits of polynomial size whose sign-rank is exponential in n . Our...

The disjointness function---determining if a number of sets share a common element---is a notorious example in communication complexity of a function which is hard, but it is hard to show it is hard. Determining both the randomized and quantum...

We review the de Branges theory of Hilbert spaces of entire functions. This theory gives a canonical form for a class of operators as a multiplication operator together with a generalized Fourier transform taking such an operator to a generalized...

Let p_1,...,p_k be integer polynomials of one or several variables. There is a relation between the density of polynomial configurations a+p_1(n),...,a+p_k(n) in sets of integers and the form of the closure of the diagonal of X^k under the...

The aim of this talk is to introduce some of the technologies used in derived algebraic geometry. Beginning with an explanation of the notion of infinity-groupoid, I will develop the notion of infinity-categories. I will discuss the relationship...

I will discuss some applications of ideas from derived algebraic geometry (DAG) to representation theory in joint work with David Nadler. First I'll review the theory of Drinfeld centers of tensor categories and its generalization to derived...