High-dimensional Hamilton-Jacobi PDEs: Approximation, Representation, and Learning

Viernes 06 de mayo de 2022 | 16.00 horas

Conferencista: Jennifer Paulhus del Grinnell College.


A well known result on Riemann surfaces says that the automorphism group of any such surface is a finite group of bounded size (based on the genus of the surface). Additionally, the Riemann-Hurwitz formula gives us an expectation for when a particular group should be the automorphism group of a Riemann surface of a particular genus. There has been a lot of work over the last 20 years to classify which groups show up for a given genus. This talk will first introduce the core ideas in the field, and then talk about recent results to classify groups which are indeed automorphisms in just about
every genus they should be. We’ll also make a surprising connection to simple groups. This is joint work with Mariela Carvacho, Tom Tucker, and Aaron Wootton.