Past Events
I will describe some potential (but thus far largely unsuccessful) applications of ML techniques to proof discovery in geometric analysis.
Waveform inversion seeks to estimate an inaccessible heterogeneous medium by using sensors to probe the medium with signals and measure the generated waves. It is an inverse problem for a hyperbolic system of equations, with the sensor excitation modeled as a forcing term and the heterogeneous…
The prime number 357686312646216567629137 is notable in some recreational math circles because of the unusual property that it remains prime successively on removing the left digit until there are no remaining digits. In this talk we will explore the more general phenomena of prime truncations…
The goal of this talk is to explore what symmetries can say about an object. We will then focus on the case of algebraic varieties, where the symmetries are birational self-maps. This is joint work with L. Esser, A. Regeta, C. Urech, and I. van Santen.
Abstract: It is now an observational fact that perturbed black holes produce radiation at fixed (complex) frequencies which are characteristic of the spacetime rather than the perturbation. The work of Vasy `13 shows how to identify these frequencies as part of the spectrum of some natural non-…
Motivated by an observation of Dehornoy, we study the roots of Alexander polynomials of knots and links that are closures of positive 3-strand braids. We give experimental data on random such braids and find that the roots exhibit marked patterns, which we refine into precise conjectures. We…
There is a close connection between certain models of random integer partitions and random growth models in the KPZ universality class. I will give an introduction to these connections before discussing some new work establishing non-trivial symmetries of two particular models of random…
I will explain a construction of p-adic variations of twistor structure and how it relates to other recent developments in relative p-adic Hodge theory including: geometric Sen theory, the p-adic Simpson correspondence, and analytic prismatization. After introducing the basic theory and…
Following Chapter 5 of Levitin–Mangoubi–Polterovich, we will survey three classical eigenvalue inequalities for the Laplacian: the Faber–Krahn, Cheeger, and Szegő–Weinberger inequalities. We will then focus on the Faber–Krahn inequality, giving a proof, discussing (quantitative) stability, and…