I always enjoy discussing mathematics and participating in seminars. Below is a (necessarily) incomplete list of my activities.
This seminar, organized by Liang Xiao, focuses on the p-adic aspects of special cycles and their relations with p-adic L-functions. We mainly follow the foundational works of Bertolini, Darmon, Prasanna, Besser, and Rotger: "Generalized Heegner cycles and p-adic Rankin L-series" (BDP13), "A generalization of Coleman’s p-adic integration theory" (Besser)， and "Diagonal cycles and Euler systems I: A p-adic Gross-Zagier formula" (Darmon-Rotger).
This seminar, organized by Ruishen Zhao, titled "From Gauss sums to modern number theory", is designed for QiuZhen undergraduates. It aims to provide an accessible introduction to modern number theory through the lens of classical objects such as Gauss sums.
This seminar is organized by Hansheng Diao and Ruishen Zhao. We mainly study Pan Lue's work "On locally analytic vectors of the completed cohomology of modular curves" (Pan2022).
This seminar is organized by Liang Xiao. We mainly study the recent development of Igusa Stacks, "A PEL-type Igusa Stack and the p-adic Geometry of Shimura Varieties" (Zhang2023), and "Igusa stacks and the cohomology of Shimura varieties" (DvHKZ2024).
This seminar is organized Liang Xiao. We mainly study some recent development of Shimura varieties and focus on "Cycles on Shimura varieties via geometric Satake" (XZ2017), "Geometric Satake, categorical traces, and arithmetic of Shimura varieties" (Zhu2018), and "Coherent sheaves on the stack of Langlands parameters" (Zhu2020).
This is a series seminar organized by MCM. See "p-adic Langlands Program Seminar" (MCM).
This is a series seminar organized by MCM and YMSC. See "p-adic Geometry Learning Seminar" (MCM-YMSC).