Past Events
Reinforcement learning in a two-player Lewis signaling game is a simple model to study the emergence of communication in cooperative multi-agent systems. When there are a fixed number of states and signals there is a positive probability that a successful communication system does not emerge. If…
A new proof will be given that Seidel's generalized Dehn twist is not symplectically isotopic to the identity. The argument will stay in the language of counting holomorphic spheres in families and family Seiberg-Witten invariants and will not rely on any Floer-theoretic…
Over the summer, I did some climate analysis for the Gates Foundation. In this talk, I'll reflect on my experience looking for math outside of math academia. Also, I'll talk about corn.
Abstract: I will discuss some joint work with Jack Thorne on the symmetric power lifting for modular forms. We prove the existence of all symmetric power lifts for holomorphic Hecke eigenforms. We previously obtained this result with an extra assumption on the ramification of the modular form (…
We use frequency decomposition techniques to give a direct proof of global existence and regularity for the Navier-Stokes equations on two-dimensional Riemannian manifolds without boundary. Our techniques are inspired by an approach of Mattingly and Sinai which was developed in the context…
What is the most singular possible singularity? What can we say about its geometric and algebraic properties? This seemingly naive question has a sensible answer in characteristic p.
The "F-pure threshold," which is an analog of the log canonical threshold, can be used to "measure" how…
Gamma Convergence, Minimal Surfaces, PDEs, oh my!
Abstract: I will give a brief overview of how we set up and work with
moduli spaces of holomorphic curves (with minimal algebraic geometry). In
keeping with this quarter's theme, I'll also talk a little about why some
problems disappear when we restrict ourselves to four dimensions.…
I will explain how one can find "analytic regularity" in periodic elliptic equations (in a sense to be explained) and use it to get optimal quantitative unique continuation results which stop just short of helping to better understand the spectrum. This is based on a recent joint work…