Past Events

Camera as Witness Stanford Arts presents the REFLECTIONS series celebrating the UN International Day of Women and…

Abstract

Smooth numbers are integers whose prime factors are all small (smaller than some threshold y). In the 80s they became important outside of pure math, because Pomerance's quadratic sieve algorithm for factoring integers relied on them and on their distribution.

The density of smooth…

Abstract: In this talk we propose an algorithm to compute the free additive convolution of two given measures. We assume that the measures have compact support and their density function exhibits a square-root decay at the boundary (for example the semicircle distribution). A key ingredient of…

We discuss the problem of distinguishing virtual transverse knots, equivalence classes of virtual braid closures modulo positive stabilization. Some of the most basic conjectures about these objects are surprisingly difficult to answer. We will define some state-sum invariants for virtual…

I will discuss progress in our understanding of Legendrian links in the standard Darboux 3-ball, focusing on their Lagrangian fillings. In particular, I will explain how to connect this symplectic geometric problem to the study of cluster algebras and use this connection to prove new results in…

Let $X$ be an $n \times n$ sparse random symmetric matrix that is a Hadamard product of $G$ and $\Xi$, where $G$ is a Wigner matrix with centered sub-Gaussian entries (the distribution of the diagonals is allowed to be different) and $\Xi$ is a symmetric matrix with i.i.d. Bernoulli $p$ entries…

Abstract: We discuss the subconvexity problem in the setting of GL(3) x GL(2) x GL(1) Rankin-Selberg L-functions involving a fixed GL(3) automorphic form, a GL(2) automorphic form, and a twist by a primitive Dirichlet character. In favourable situations, namely when the GL(3) form is self-dual,…

In this one-of-a-kind mathematical epic, we will draw from analysis, geometry, number theory, combinatorics, physics and PDEs as we explore the various notions of what it means to take the determinant of the Laplacian, the operator which describes how heat…