University of Washington

This is a one-day conference taking place on Saturday, March 31st on the campus of the University of Washington in Seattle. The topics of this event are enumerative and algebraic combinatorics. The conference will feature 4 invited talks as well 5...

Mathematical modeling is an effective resource for biologists-- it provides ways to simplify, study and understand the complex systems common in biology and biochemistry. Many mathematical tools can be applied to biologicalproblems, some traditional...

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...

We summarize the theory of Plancherel measures for real groups in a way which makes direct connections with L-functions through their gamma factors. These measures give a "first guess" as to how many L-functions there should be with certain numerical...

Standard Young tableaux are fundamental in combinatorics, representation theory, and geometry. In this talk, we will define these objects and discuss some of their remarkable properties. In particular, we will discuss the connection between the major...

The “cap set” problem asks the following question. Let S be a subset of an n-dimensional vector space over F_3 such that no three distinct elements of S are collinear. How big can S be? This is related to classical number theory questions about sets...

In number theory and diophantine geometry, the theory of "heights" is essential in studying finiteness questions. Roughly, they capture the "arithmetic complexity" of the object of study. We give a formula relating various notions of heights of...

Many results in extremal graph theory can be formulated as inequalities on graph densities. While many inequalities are known,many more are conjectured. A standard tool to establish an inequality is to write the expression whose nonnegativity needs...

I will discuss recent new developments in De Giorgi Conjecture for Allen-Cahn equation. In dimensions up to 10, we shall establish the C2,α estimates of level sets for stable solutions of Allen-Cahn. By applying reverse gluing method we show that the...

Algebraic geometry is the study of geometric objects defined as the solution set of a system of polynomial equations p1,…,pr∈F[x1,…,xn] where F is an algebraically closed field. After recent spectacular progress in the classification of varieties...