Geometry Seminar

Date: October 25, 2021

Time: 3:00PM - 4:00PM

Location: BLOC 302

Speaker: Amy Huang, Texas A&M University

Title: Tensor Ranks and Matrix Multiplication Complexity

Abstract: Tensors are multi-dimensional arrays. And notions of ranks and border rank abound in the literature. Tensor decompositions also have a lot of application in data analysis, physics, and other areas of science. I will try to give a colloquium-style talk surveying my current two results about tensor ranks and their application to matrix multiplication complexity. I will also briefly discuss the newest technique we used to achieve our results: border polarity. This talk assumes no background in geometry or algebra. And it is intended for a general audience.