### The singularity probability of a random symmetric matrix

- Series
- Combinatorics Seminar
- Time
- Friday, November 4, 2022 - 15:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 202
- Speaker
- Matthew Jenssen – University of Birmingham

Let $A$ be drawn uniformly at random from the set of all $n \times n$ 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.