ABSTRACT.
The cokernels of random p-adic matrices provide a powerful tool for understanding probabilistic distributions that arise naturally in number theory. A well-known example is the Cohen–Lenstra conjecture, which predicts a distribution for the p-parts of the ideal class groups of imaginary quadratic fields. Friedman and Washington showed that the distribution of the cokernel of a random p-adic matrix matches the Cohen–Lenstra distribution. Later, Wood significantly broadened their result by studying a much more general family of probability measures on p-adic matrices. In this talk, we present a further extension of Wood’s framework. This is joint work with Dong Yeap Kang and Jungin Lee.
CMC Algebra Seminar