Past Events
Abstract: In this talk I will discuss energy decay of solutions of the Damped wave equation on the torus when the geometric control condition is not satisfied. In this setup properties of the damping at the boundary of its support determine the decay rate, however a general sharp rate is not…
We describe a novel Yang-Baxter integrable vertex model, from which we construct a certain class of partition functions that are equal to the LLT polynomials of Lascoux, Leclerc, and Thibon. Using the vertex model…
Associated to a link L is a stable homotopy type X(L), the Khovanov spectrum, whose singular homology is the Khovanov homology of L. The talk will start with an overview of what properties of Khovanov homology have been lifted to the Khovanov spectrum, and which are not known to lift. We will…
In recent work, Davesh Maulik and I built a theory “logarithmic” Donaldson-Thomas invariants, and in the process we constructed a new version of the Hilbert scheme of curves: one that is sensitive to the manner in which subschemes interact with a chosen simple normal crossings divisor. There are…
Please find the abstract here: https://web.stanford.edu/~jluk/Abstract-Vasseur.pdf
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Minimal surfaces in 3-manifolds, and Einstein 4-manifolds are two typical and important examples of variational objects, which means that they are critical points of some natural geometric functionals. While at first glance they seem to be very different, they actually share many common…
I will describe how Whittaker functions related to both GLn(R) and SO2n+1(R) arise from a solvable random polymer model. The main tool towards this is A.N.Kirillov’s geometric lifting of the Robinson-Schensted-Knuth…
I will discuss a variant of the external multi-particle diffusion-limited aggregation (MDLA) process on the plane. Based on the recent findings in one space dimension it is natural to conjecture that the scaling limit of the growing aggregate in such a model is given by the growing solid phase…