Location: Hill 701
Date & time: Wednesday, 28 June 2017 at 1:40PM - 2:40PM
Abstract: We discuss the problem of computing the density of sublattices
L of Z^d which have the property that the quotient of Z^d by L has m
invariant factors, for fixed m. We find that these densities follow a
Cohen-Lenstra distribution. Our main tool is a generalization of the
subgroup growth zeta function of Z^d originally introduced by V.
Petrogradsky. This is a joint work with N. Kaplan and S. Koplewitz.