崔沛仪 , 刁晗生 , 杜衡 , 胡悦科 , ‌李华杰 , 徐文强 , 徐斌 , 朱艺航

毛盛开

2026年11月09日 10:00 至 11:00

Shuangqing-C654

In this talk, we discuss canonical extensions of p-adic shtukas from integral models of Shimura varieties to their toroidal compactifications. We begin by motivating the problem through the degeneration of elliptic curves, and then introduce the notions of log diamonds and log shtukas, the logarithmic analogues of diamonds and shtukas, respectively. We explain the idea on how to construct canonical extensions as log shtukas on toroidal compactifications. We also discuss applications to the geometry of various strata in the special fibers, as well as to the uniqueness and functoriality of compactifications. This is joint work with Peihang Wu.