Speaker: Hoi Nguyen (Ohio State University)
Title: Algebraic and Combinatorial statistics of random integral matrices
Abstract: For many random matrix models of integral entries (including 0-1 matrices) we discuss the distribution of their coranks and cokernels. Using tools from combinatorics and probability, we show that these statistics are universal within their symmetry class, given by precise formulas involving zeta values, and agree with distributions defined by Cohen and Lenstra.
