Stefano Marmi, Scuola Normale Superiore, Pisa
TBA

Speaker:   Samir Mathur

Title:   What is the wormhole paradigm saying?

David Gabai, Princeton University
TBA

Speaker:	Seminar organizers, Stony Brook University
Abstract:
We will watch a video by Terence Tao explaining some of his recent advances using AI for mathematics research.

Daigo Ito, UC Berkeley
A derived category analogue of the Nakai–Moishezon criterion

In the study of derived categories of coherent sheaves, ample line bundles play a fundamental role: their tensor powers generate the derived category. This raises a natural question: does this generation property characterize ampleness? The answer is negative, but we show that this categorical property can be checked by a classical numerical criterion naturally extending the Nakai–Moishezon criterion. Moreover, the cone of divisors satisfying this condition lies between the big cone and the ample cone. In this talk I will focus on explaining the case of surfaces, where the geometry becomes especially clear

Lu Wang, Yale
TBA

Speaker:   Keith Glennon    

Title:   E11 Symmetries in M Theory    

Abstract:   We review the argument that E11 is a symmetry of m-theory at low energies. We will suggest the possibility of an E11 symmetry based on dimensionally reduced coset symmetries of 11D SUGRA. We will argue that a certain induced representation of the semi-direct product of the very extended algebra E8+++ = E11, with its vector representation, results in the equations of motion of the bosonic sector of m-theory at low energies, predicting additional effects beyond the supergravity approximation. We will then review recent developments illustrating K27 as the 26D closed bosonic string analogue of E11, and future questions.

Polina Baron, University of Chicago
Unique ergodicity of branched covers of flat surfaces

We will start by introducing translation surfaces — flat surfaces with cone singularities and straight-line flow. These are among the simplest examples of dynamical systems, yet they model a variety of physical processes, such as Ehrenfest wind-tree models, polygonal billiards, optical cavities, and Eaton lenses. Most translation surfaces are chaotic, or, more specifically, uniquely ergodic in almost every direction: for almost every initial point, the straight trajectory equidistributes for area, and time averages equal space averages (this idea comes from Boltzmann's ergodic hypothesis in thermodynamics). After a primer where I willrndefine everything we need, I will present a new construction on translation surfaces called branched slit-induced n-cover: on a uniquely ergodic X