# The singularity probability of a random symmetric matrix

## Location

384H

Event Series

Event Type

Seminar

Thursday, November 17, 2022 3:00 PM

Matthew Jenssen (University of Birmingham)

Let *A* be drawn uniformly at random from the set of all *n* x *n* symmetric matrices with entries in {-1,1}. What is the probability that *A* is singular? This is a classical problem at the intersection of probability and combinatorics. I will give an introduction to this type of question and sketch a proof that the singularity probability of *A* is exponentially small in *n*. This is joint work with Marcelo Campos, Marcus Michelen and Julian Sahasrabudhe.