时间：2026年6月9日（周二）14:00-15:00
地点：E14-301
报告人：Christian Maire, University Marie and Louis Pasteur
报告主题：Gras conjecture, class groups and ray class groups
报告摘要：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).
