Past Events
This talk is based on joint work with Jan de Gier, Sam Watson, and Istvan Prause.
The five vertex model is a special case of the six-vertex model.
We give a complete solution to the model, and explicit…
Given a grid diagram for a knot or link K in S^3, we construct a spectrum whose homology is the knot Floer homology of K. We conjecture that the homotopy type of the spectrum is an invariant of K. Our construction does not use holomorphic geometry, but rather builds on the…
The classical Erdos–Littlewood–Offord theorem says that for any n nonzero vectors in R^d, a random signed sum concentrates on any point with probability at most O(n^{1/2}). Combining tools from probability theory, additive combinatorics, and model theory, we obtain an anti-concentration…
We prove, in this joint work with Maksym Radziwill, a 1978 conjecture of S. Patterson (conditional on the Generalised Riemann hypothesis)
concerning the bias of cubic Gauss sums.
This explains a well-known numerical bias in the distribution of cubic Gauss sums first observed by…
I will be reporting on the very important paper of Ed Morehouse, "Burritos for the hungry mathematician", in which a burrito is defined precisely as a strong monad in the category of food.
Abstract: We describe the construction of gradings in Legendrian Contact homology, beginning with an overview of Maslov & Conley-Zehnder indices and continuing with a discussion of their roles in determining gradings for contact homologies.
Abstract: This talk will describe a global stability result for a nonlinear anisotropic system of wave equations. This is motivated by studying phenomena involving characteristics with multiple sheets as encountered in, for example, the study of light in a biaxial crystal. For the proof, we…
384I
In a seminal work, Perthame and Lions applied the velocity averaging method to solutions of the Kinetic-transport equation to prove that the total energy within any bounded set of the spatial variable is integrable over time thereby establishing an analogy to the Morawetz estimate for the…