CMSA : The singularity probability of random symmetric matrices


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December 7, 2021 9:30 am - 10:30 am

Matthew Jenssen - University of Birmingham

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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