Cookies

We use cookies to ensure that we give you the best experience on our website. You can change your cookie settings at any time. Otherwise, we'll assume you're OK to continue.

Department of Mathematical Sciences

Seminar details

Arithmetic Study Group: Class groups of "random" number fields

Presented by Alex Bartel, Glasgow University

6 February 2018 14:00 in CM219

The Cohen-Lenstra heuristics, postulated in the early 1980s, say that the sequence of ideal class groups of imaginary quadratic number fields can be modelled as a sequence of random finite abelian groups, where a finite abelian group gets a probability weight that is inversely proportional to the size of its automorphism group. They also propose a model for class groups of real quadratic fields. This was extended in the early 1990s by Cohen-Martinet to much more general families of number fields. I will present very recent joint work with Hendrik Lenstra, in which we are trying to understand the Cohen-Lenstra-Martinet heuristics better. Among other things, this entails disproving them and proposing corrected versions.

Contact athanasios.bouganis@durham.ac.uk or pankaj.vishe@durham.ac.uk for more information