Universality for groups

The Central Limit Theorem is an example of the ubiquitous yet still surprising phenomena in probability that many random inputs often combine to give an output insensitive to the input distributions. We will explore an example of how this plays out in the construction of random abelian groups from random integral matrices. As an example we will see the probability, as n goes to infinity, that a random linear map from Z^(n+1) to Z^n is surjective.

This talk includes joint work with Hoi Nguyen.

For more information, please see: https://people.math.harvard.edu/~ana/ons/