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Past Events

Mar
04

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.

Mar
04

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…

Mar
03

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"…

Mar
03

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…

Mar
03

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.…

Mar
03

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…

Feb
28

We will discuss how the majorizing measure theorem can be applied to hypergraph sparsification.

Feb
27

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…

Feb
26

We will follow Lecture 10 of Mazza–Voevodsky–Weibel's Lecture notes on motivic cohomology.