Previous Conferences & Workshops

I shall present two billiard-like systems associated with a convex hypersurface in a symplectic space, the outer and an inner ones.  The talk will survey the known results and focus on open problems.

Let $K$ be a knot or link in the 3-sphere, thought of as the ideal boundary of hyperbolic 4-space, $H^{4}$. The main theme of my talk is that it should be possible to count minimal surfaces in $H^{4}$ which fill $K$ and obtain a link invariant. In...

Half-integral weight modular forms are classical objects with many important arithmetic applications.  In terms of automorphic representations, these correspond to objects on the metaplectic double cover of SL(2).  In this talk, I will outline a...

The Hochschild cohomology of the Floer algebra of a Lagrangian $L$, and the associated closed-open string map, play an important role in the generation criterion for the Fukaya category and in deformation theory approaches to mirror symmetry. I will...

Of the $(2H+1)^n$ monic integer polynomials $f(x)=x^n+a_1 x^{n-1}+\cdots+a_n$ with $\max\{|a_1|,\ldots,|a_n|\}\leq H$, how many have associated Galois group that is not the full symmetric group $S_n$?  There are clearly $\gg H^{n-1}$ such...