12/7/21 Combinatorics, Physics and Probability Seminar

Speaker: Matthew Jenssen (University of Birmingham)

Title:  The singularity probability of random symmetric matrices

Abstract: Let M_n be drawn uniformly from all n by n symmetric matrices with entries in {-1,1}. In this talk I’ll consider the following basic question: what is the probability that M_n is singular? I’ll discuss recent joint work with Marcelo Campos, Marcus Michelen and Julian Sahasrabudhe where we show that this probability is exponentially small. I hope to make the talk accessible to a fairly general audience.

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