报告人：薛江维（武汉大学）

报告题目：Refined class-type number formulas of totally definite quaternion orders and selectivity

报告摘要：The notion ``selectivity" is first introduced by Chinburg and Friedman in 1999 to describe the phenomenon that certain quadratic orders tend to embed into some but not all maximal orders in a fixed indefinite quaternion algebra, as if they have selected some maximal order to embed into.  This theory was further developed by Chan and Xu, Guo and Qin, and many others.  However, most of the development focus on the indefinite case (i.e., when the quaternion algebra satisfies the Eichler condition).   In this talk, we explain the generalization of the selectivity theory to the totally definite case and then apply it to obtain several refined class/type number formulas for totally definite quaternion orders.  Such formulas enable us to prove certain divisibility results about these class/type numbers.  This talk is based on joint works with Yucui Lin and Chia-Fu Yu.

报告时间：2025年4月23日（星期三）10:30-12:00

报告地点：东32楼216室

邀请人：张庆