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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 211A: Seminar in Algebra
Suhas Gondi
UC San Diego
Border Rank Lower Bounds for Families of GL(V)-invariant Tensors
Abstract:
The border rank of tensors is a widely studied topic with practical applications to theoretical computer science and algebraic statistics. New lower bounds were obtained for the matrix multiplication tensor using techniques from representation theory and algebraic geometry. In this talk, we will prove non-trivial border rank lower bounds for a class of GL(V)-invariant tensors using Young flattenings. We will see how this comes down to proving results on ranks of certain maps between schur functors, the proofs of which surprisingly uses deep results in representation theory and commutative algebra.
February 9, 2026
3:00 PM
APM 7321
Research Areas
Algebra Combinatorics Representation Theory****************************
