Past Events

Obtaining accurate samples from the hard-core model (and related models) is an important problem at the intersection of probability theory, statistical mechanics, and theoretical computer science. I will introduce this problem and describe an...

In the last few decades, the theory of optimal transportation has blossomed into a powerful tool for exploring applications both within and outside mathematics. Its impact is felt in such far flung areas as geometry, analysis, dynamics, partial...

The theory of Mean Field Games was invented roughly a decade ago simultaneously by Lasry-Lions on the one hand and Caines-Huang-Malhamé on the other hand. The aim of both groups was to study Nash equilibria of differential games with infinitely many...

In this talk we summarize the classification of regular polyhedra and polytopes and extend the concept to that of hypertope: a thin, residually connected incidence geometry. We present the characterization of the automorphism groups of regular...

Using bordered Floer theory, we construct an invariant for 3-orbifolds with singular set a knot that generalizes the hat flavor of Heegaard Floer homology. We show that for a large class of 3-orbifolds the orbifold invariant behaves like HF-hat in...

In joint work with Hans-Joachim Baues, we study track categories (i.e., groupoid-enriched categories) endowed with additive structure similar to that of a 1-truncated DG-category, except that composition is not assumed right linear. We show that if...

In 1987, Aizenman, Kesten, and Newman proved that percolation on Z^d always has at most one infinite cluster a.s. While their proof has mostly been eclipsed by the more general and arguably more elegant proof of Burton and Keane, the Aizenman-Kesten...

Cell migration is a fundamentally important phenomenon underlying wound healing, tissue development, immune response and cancer metastasis. Understanding basic physics of the cell migration presented a great challenge until, in the last three decades...

Following the framework of Rubinstein and Sarnak for Chebyshev's bias, one obtains a limiting logarithmic distribution μ. Then assuming that the zeros of the L-functions are linearly independent over Q, one can show that the distribution μ is smooth...

Mirror symmetry describes a surprising duality between symplectic geometry and complex geometry, coming from a duality between certain models of string theory. Of particular interest in these theories is the question: "what are the observable...