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.