Past Events

Microbial communities routinely have several alternative stable states observed for the same environmental parameters. A possibility of sudden and irreversible transitions between these states (regime shifts) complicates external manipulation of...

It is an open problem whether there exists an exotic smooth structure on S^1 × S^3. Motivated by this problem, Akbulut asked if there is a simply connected homology cobordism from a homology sphere with non-trivial Rochlin invariant to itself. The...

Walks in the plane taking unit-length steps north and east from $(0,0)$ to $(n,n)$ never dropping below $x=y$, and parking cars subject to preferences, are two intriguing ingredients in a formula conjectured in 2005, now famously known as the shuffle...

Dynamical sampling is a new area in sampling theory that deals with processing a time series of evolving signals {A^nx, n=0,1,2,...} and aims at recovering the signal x from its coarsely sampled evolving states. In the talk, I will present why and...

Error correcting codes protect information by encoding it into a larger system with some redundancy, allowing the original logical information to be recovered even if part of the encoded system becomes lost or corrupted. In this talk I will introduce...

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...