Events and Activities

In this talk, I will discuss lower bounds for a certain set-multilinear restriction of algebraic branching programs. The significance of the lower bound and the model is underscored by the recent work of Bhargav, Dwivedi, and Saxena (2023), which...

Abstract: I will present a case for the striking resemblance between bubbles of anti-de Sitter (AdS) within Minkowski spacetime and black holes. These solutions of Einstein’s equations are motivated by high-energy physics and lack horizons. We will...

Triangulated surfaces are Riemann surfaces formed by gluing together equilateral triangles. They are also the Riemann surfaces defined over the algebraic numbers. Brooks, Makover, Mirzakhani and many others proved results about the geometric...

Abstract: In this talk we use integrability data to bootstrap correlation functions of planar maximally supersymmetric Yang- Mills theory, focusing on four-point correlation function of stress-tensor. First, we start by demonstrating why the...

The resolutions of Slodowy slices $\tilde{S}_{e}$ are symplectic varieties that contain the Springer fiber $(G/B)_{e}$ as a Lagrangian subvariety. In joint work with R. Bezrukavnikov, M. McBreen and Z. Yun, we construct analogues of these spaces for...

A cornerstone result in geometry is the Szemerédi–Trotter theorem, which gives a sharp bound on the maximum number of incidences between $m$ points and $n$ lines in the real plane. A natural generalization of this is to consider point-hyperplane...