Previous Conferences & Workshops

In this talk I will introduce a way to associate a triangulated category of sheaves with a domain of $\mathbb R^{2n} \times S^1$. The cohomological information on the category side helps to detect the contact non-squeezing property of the domain on...

In arithmetic geometry, there are lots of examples of natural density zero sets of primes raised from the geometry of elliptic curves or more generally abelian varieties. One may ask whether such thin set is finite or not. For example, given any two...

In the first half of the talk I shall present a new algebraic proof of a result of Deligne-Illusie about the degeneration of the Hodge-de Rham spectral sequence. The idea is to reduce the main technical point of their proof to a question about the...

It is widely believed that the generic dynamics of nonlinear dispersive equations in the whole space is described by solitary waves and linear dispersions. More precisely, over large times, solutions tend to de-couple into solitary waves plus...

I will discuss a construction of the homological mirror correspondence on algebraic integrable systems arising as moduli of flat bundles on curves. The focus will be on non-abelian Hodge theory as a tool for implementing hyper Kaehler rotations of...

We'll talk about various dimensional reductions of the HW equations and the connections to (de)categorification as we continue explaining their physical origins. Time permitting we will discuss (conjectural?) relations to Fukaya-Seidel categories.

I will give an introduction to computational techniques in noncommutative probability for people (like myself) that are less interested in the details of the theory and more interested using results in the theory to help understand the behavior of...

This talk will survey some recent advances in research on program obfuscation, an area of theoretical cryptography that has seen unprecedented levels of activity over the last four years. We will cover material starting from the basics, and no prior...

In this talk, we will discuss symplectomorphisms coming from Dehn twists along Lagrangian spherical manifolds. The main focus will be on the induced auto-equivalences of the Fukaya category. We will explain the auto-equivalence formula from several...