Geometry Seminar

Date: September 23, 2022

Time: 4:00PM - 5:00PM

Location: BLOC 302

Speaker: Runshi Geng, TAMU

Title: On the geometry of geometric rank

Abstract: Geometric Rank of tensors was introduced by Kopparty et al. as a useful tool to study algebraic complexity theory, extremal combinatorics and quantum information theory. In this talk I will introduce Geometric Rank and results from their paper, in particular showing the relation between geometric rank and other ranks of tensors. Then I will present recent results of geometric rank, including and the connections between geometric rank and spaces of matrices of bounded rank, and classifications of tensors with geometric rank one, two and three.