The singularity probability of random symmetric matrices

Name: The singularity probability of random symmetric matrices
Start: 2021-12-07T09:30:00-05:00
End: 2021-12-07T10:30:00-05:00
Location: Virtually

CMSA EVENTS

When: December 7, 2021

9:30 am - 10:30 am

Where: Virtually

Speaker: 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.

Zoom link: https://harvard.zoom.us/j/99715031954?pwd=eVRvbERvUWtOWU9Vc3M2bjN3VndBQT09

Password: 1251442