Arithmetic volume of Shimura varieties
报告人：张伟(MIT)
时间：2025-06-12 10:00-11:00
地点：王选报告厅-101教室
Abstract: I will report a work in progress with Tony Feng and Zhiwei Yun. The arithmetic volume is by definition the Arakelov degree of certain Hermitian metrized line bundle. Based on calculations over function fields, we formulate a conjecture relating arithmetic volumes of all Shimura varieties to the special values of derivatives of Artin L functions. We also prove it in a couple of new cases.
