Time：14:00-15:00, Tuesday, June 9 2026
Venue：E14-301
Speaker：Christian Maire, University Marie and Louis Pasteur
Title：Gras conjecture, class groups and ray class groups
Abstract：In this talk, we begin by recalling of the conjecture of Gras. At the same time, we review the Cohen-Lenstra statistics for the class groups of quadratic fields. In both settings, valuable information can be obtained thanks to modular forms of half integral weight. We will explain how similar methods can be applied to ray class groups of real quadratic fields. New results will be presented from joint work with Emmanuel Lecouturier (Westlake University).
