Past Events

This is the second of a two part expository talk on the Balog-Szemerédi-Gowers theorem. This theorem, originally due to Balog and Szemerédi and later strengthened by Gowers, is one of the most important tools in additive combinatorics, with...

The Allen--Cahn equation is a semi-linear PDE that produces minimal surfaces via a certain singular limit. We will describe recent work proving index, multiplicity, and curvature estimates in the context of an Allen--Cahn min-max construction in a 3...

The 25th West Coast Operator Algebras Seminar will take place at Seattle University on October 6-7, 2018. The conference will start on Saturday morning and conclude Sunday afternoon. The West Coast Operator Algebras Seminar promotes the vitality of...

The affine Grassmannian, though a somewhat esoteric looking object at first sight, is a fundamental algebro-geometric construction lying at the heart of a series of ideas connecting number theory (and the Langlands program) to geometric...

I will discuss results and open problems about harmonic functions for finitely generated groups, with an emphasis on polynomial vs. super-polynomial growth. By "polynomial growth" I am implying to at least two different notions: 1. The volume growth...

We introduce a Markov chain model to study evolution of a continuous trait based on population genetics. It corresponds to individual-based model which includes frequency dependent selection caused by m-player game interactions and stochastic...

Given two homotopy equivalent manifolds with different dimensions, it is natural to ask if the smaller one embeds in the larger one. We will discuss this problem in the case of four-manifolds homotopy equivalent to surfaces.

This is the first of a two part expository talk on the Balog-Szemerédi-Gowers theorem. This theorem, originally due to Balog and Szemerédi and later strengthened by Gowers, is one of the most important tools in additive combinatorics, with...

Self-similar solutions and translating solitons are not only special solutions of mean curvature flow (MCF) but a key role in the study of singularities of MCF. They have received a lot of attention. We introduce some examples of self-similar...

A lattice-indexed family of stochastic processes has quasi-cycle oscillations if its otherwise-damped oscillations are sustained by noise. Such a family performs the reaction part of a stochastic reaction-diffusion system when we insert a local...