Events for 10/27/2021 from all calendars

Mathematical Physics and Harmonic Analysis Seminar

Time: 10:00AM - 11:00AM

Location: Zoom

Speaker: Jon Keating, University of Oxford

Title: Random matrices, spin glasses, and machine learning

Abstract: I will describe some problems relating to machine learning and their connections to random matrix theory and spin glasses. These connections give a mathematical framework for understanding in qualitative terms the effectiveness of certain algorithms that are important in machine learning, but developing them into precise models remains a major challenge. I will reflect on the different roles played by models in computer science and physics, focusing on those involving random matrices.

Numerical Analysis Seminar

Time: 3:00PM - 4:00PM

Location: BLOC 628

Speaker: Giselle Sosa Jones, University of Houston

Title: A space-time hybridizable discontinuous Galerkin method for free-surface waves

Abstract: The numerical modeling of free-surface waves requires the solution of a system of partial differential equations that govern the movement of the fluid, coupled with free-surface boundary conditions that describe the free-surface. In these problems, the domain where the partial differential equations are posed depends on the free-surface which leads to a strong coupling between the flow equations and the free-surface. In order to effectively track the free-surface, we require an accurate discretization technique that can handle moving domains. Moreover, it is desirable for the discretization to handle the mesh movement without postprocessing techniques. In this talk, we present a space-time hybridizable discontinuous Galerkin discretization of linear and nonlinear free-surface wave problems. We obtain a priori error estimates for the linearized problem, and present various numerical examples that demonstrate the capabilities of the method.

Groups and Dynamics Seminar

Time: 3:00PM - 4:00PM

Location: online

Speaker: Samuel Corson, University of Bristol

Title: Some finite-like groups

Abstract: This talk will focus on infinite groups which share properties with finite groups, either in their actions on metric spaces (strongly bounded groups) or in their relationship to proper subgroups (Jonsson groups). Many such groups can be constructed using small cancellation and combinatorial set theory. There will be a historical review and exposition of recent results. Includes joint work with Saharon Shelah.