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Texas A&M University

Events for 04/20/2023 from all calendars

Number Theory Seminar

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Time: 2:30PM - 3:30PM

Location: BLOC 302

Speaker: Wei-Cheng Huang, Texas A&M University

Title: Regulators of tensor/symmetric/alternating squares of Drinfeld modules of rank 2

Abstract: Regulators of Drinfeld modules or t-modules appear in the class module formulas of Demeslay, Fang, and Taelman. In this talk, we will investigate regulators of the tensor, symmetric, and alternating squares of Drinfeld modules of rank 2, and express them in terms of data from the Drinfeld modules themselves.

The Foias Lectures

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Time: 4:00PM - 5:00PM

Location: BLOC 117

Speaker: Gigliola Staffilani , MIT

Title: On the wave turbulence theory for a stochastic KdV type equation.

Abstract: Phenomena involving interactions of waves happen at different scales and in different media: from gravitational waves to the waves on the surface of the ocean, from our milk and coffee in the morning to infinitesimal particles that behave like wave packets in quantum physics. These phenomena are difficult to study in a rigorous mathematical manner, but maybe because of this challenge mathematicians have developed interdisciplinary approaches that are powerful and beautiful.

In the first lecture, which will be colloquium style, I will describe some of these approaches and show for example how the need to understand certain multilinear and periodic wave interactions provided also the tools to prove a famous conjecture in number theory, or how classical tools in probability gave the right framework to still have viable theories behind certain deterministic counterexamples.

In the second and third lecture I will open a small window into the concept of weak wave turbulence. I will start with the deterministic approach of Bourgain, involving the study of long time asymptotic of higher Sobolev norms of solutions of dispersive equations, and I will end with the rigorous derivation of a 3-wave kinetic equation.