Events for 09/26/2023 from all calendars

Number Theory Seminar

Time: 11:10AM - 12:00PM

Location: BLOC 302

Speaker: Matthew Young, Texas A&M University

Title: Generalized Petersson formulas and the large sieve

Abstract: The classical Petersson formula has been extremely important in analytic number theory. I will discuss work with Yueke Hu and Ian Petrow on generalizations of this formula that allow one to restrict to families of cusp forms with prescribed local behavior. As an example, we show a sharp large sieve inequality for these sorts of prescribed local families.

Topology Seminar

Time: 3:00PM - 4:00PM

Location: BLOC 624

Speaker: Matt Stoffregen, Michigan State

Title: Monopole Floer spectra of Seifert spaces

Abstract: We'll give a short description of what exactly monopole Floer spectra are, and then explain how to calculate them for AR plumbings, a class of 3-manifolds including Seifert spaces. This is joint work with Irving Dai and Hirofumi Sasahira.

Nonlinear Partial Differential Equations

Time: 3:00PM - 4:00PM

Location: BLOC 302

Speaker: William M Golding, University of Texas at Austin

Title: Strong solutions for the homogeneous Landau equation

Abstract: The Landau equation is one of the fundamental models of statistical physics for describing the evolution of plasmas. Nevertheless, the existence of global-in-time smooth solutions remains widely open, even for the homogeneous equation. I will discuss some recent progress in constructing local-in-time strong solutions for large initial data under minimal integrability assumptions. Our method relies crucially on a priori short time smoothing estimates obtained via the De Giorgi method. While for Landau these smoothing estimates require some integrability assumptions on the initial data, these assumptions may be removed for critical perturbations of the Landau equation. Consequently, arbitrarily small critical perturbations of the Landau equation admit global-in-time smooth solutions for generic, possibly large initial data.

Undergraduate Research Poster Session

Time: 5:30PM - 6:30PM

Location: Blocker 2n floor