报告题目：Theta lifting in Selmer groups

报告人：刘一峰

报告时间：2024年5月17日 上午10:30

报告地点： 数学楼一楼报告厅

报告摘要：In this talk, we study generating series on unitary Shimura varieties valued in Selmer groups. We show its modularity under some natural hypothesis, based on which we construct theta lifts valued in Selmer groups. Finally, we compute the p-adic height of our Selmer theta lifts, obtaining a formula known as the p-adic arithmetic inner product formula, which can be regarded as a higher dimensional generalization of Perrin-Riou’s p-adic Gross-Zagier formula. This is a joint work with Daniel Disegni.

报告人简介：刘一峰老师是浙江大学数学高等研究院教授，北京大学数学科学学院获学士学位，美国哥伦比亚大学博士学位。2021年6月1日，加盟浙江大学数学高等研究院，成为第四位永久成员，此前是美国耶鲁大学正教授。

邀请人：彭志峰