Past Events
A Q&A-style colloquium with Stanford University President Jonathan Levin and members of the Stanford Math Department.
President Levin received his BS in Mathematics from Stanford University in 1994. …
We will discuss a new geometry of level sets of semilinear elliptic equations, $\Delta u = f(u)$, inspired by the work of Hamilton and Perelman on mean curvature flow and Ricci flow. There are potential applications to levels sets of eigenfunctions, but we are just getting started with…
I will discuss large deviation principles for the right-most eigenvalue of Wigner matrices with sub-Gaussian entries. Previous work of Guionnet and Husson established a universal rate function for the light-tailed "sharp sub-Gaussian" case, where large deviations result from "delocalized"…
Relying on Morse theory and an Euler class argument of Atiyah and Bott, Frances Kirwan proved two important results about the rational cohomology of compact symplectic manifold X with the Hamiltonian action of a connected, compact group G: equivariant formality, or the triviality of the G-action…
Associated to a star-shaped domain in R^{2n} are two increasing sequences of capacities: the Ekeland-Hofer capacities and the so-called Gutt-Hutchings capacities. I shall recall both constructions and then present the main theorem that they are the same. This is joint work with Vinicius Ramos.…
Abstract: We discuss two recent results which involve in their critical cases unexpected applications of nilsequences to certain point counting questions. The first gives an improved upper bound for the difference between consecutive squarefree numbers. The second concerns representations…
We will discuss how the majorizing measure theorem can be applied to hypergraph sparsification.
We discuss recent improved bounds for Szemerédi’s Theorem. The talk will seek to provide a gentle introduction to what is meant by higher order Fourier analysis, motivate the statement of the inverse theorem for the Gowers norm and discuss the high level strategy underlying the proof. Based on…
We will follow Lecture 10 of Mazza–Voevodsky–Weibel's Lecture notes on motivic cohomology.