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BIMSA-YMSC Tsinghua Number Theory Seminar
BIMSA-YMSC Tsinghua Number Theory Seminar
Canonical Extensions of p-adic Shtukas on Compactifications of Shimura Varieties
Canonical Extensions of p-adic Shtukas on Compactifications of Shimura Varieties
Organizers
Peiyi Cui
, Hansheng Diao
, Heng Du
, Yueke Hu
, Huajie Li
,
Max Wenqiang Xu
, Bin Xu
, Yihang Zhu
Speaker
Shengkai Mao
Time
Monday, November 9, 2026 10:00 AM - 11:00 AM
Venue
Shuangqing-C654
Abstract
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.