## Geometry Seminar

**Date:** September 3, 2018

**Time:** 3:00PM - 4:00PM

**Location:** BLOC 628

**Speaker:** A. Conner, TAMU

**Title:** *Tensors with large symmetry groups*

**Abstract:** I will describe two new paths using algebraic geometry and representation theory to prove upper bounds on the exponent of matrix multiplication. The first approach aims to apply the laser method of Strassen to previously unstudied tensors which uniquely share certain geometric properties with the Coppersmith-Winograd tensor. The second approach for upper bounds transforms the problem into that of finding a certain sequence of finite groups and associated representations. The first approach is joint work with Fulvio Gesmundo, JM Landsberg, and Emanuele Ventura.