Main content start

Past Events

Dec
05

Self-expanders are a special class of solutions to the mean curvature flow, in which a later time slice is a scale-up copy of an earlier one. They are also critical points for a suitable weighted area functional. Self-expanders model the asymptotic behavior of a mean curvature flow when it…

Dec
05

Define an equivalence relation on the symmetric group S_n by declaring two permutations equivalent if their weak excedances occur in the same positions and share the same values, up to reordering. This talk explores the resulting “excedance equivalence classes” of S_n: their number, the size of…

Dec
04

Hyperbolic reflection groups appear in various fields of mathematics such as algebraic geometry, discrete subgroups of Lie groups, geometric group theory, geometric topology, and number theory. Cofinite and cocompact hyperbolic reflection groups have the following feature: their fundamental…

Dec
04
  • Distinguished Lecture

Algebraic geometry and analytic geometry are two closely related subjects with many important interactions that have spurred major progress in both areas. In this talk we will highlight some of these connections with an emphasis on recent progress, future directions, and open questions.

Dec
04

A longstanding challenge in data science is to effectively quantify systems of interest by integrating information from heterogeneous datasets, a problem known as multiview learning. In this talk, I will present recent advancements in this direction, focusing on novel algorithms based on…

Dec
03

Despite the small scales involved, the compressible Euler equations seem to be a good model even in the presence of shocks. Introducing viscosity is one way to resolve some of these small scale effects. In this talk, we examine the vanishing viscosity limit near the formation of a generic shock…

Dec
02

In this talk, based on a joint work with Erman Cineli and Basak Gurel, we discuss the multiplicity problem for prime closed orbits of dynamically convex Reeb flows on the boundary of a star-shaped domain. The first of our two main results asserts that such a flow has at least n prime closed Reeb…