Lecture Series of Dr. Alex Youcis
Dr. Alex Youcis
2025-04-02 16:30-18:00
MCM110
Speaker: Dr. Alex Youcis (National University of Singapore)
Time:
16:30-18:00 March 24 (Monday), March 31 (Monday), 2025
10:00-11:30 March 26 (Wednesday), April 2 (Wednesday), 2025
Venue: MCM110
Topic: Some recent advances on the $p$-adic geometry of Shimura varieties
Abstract: Shimura varieties are a class of algebraic varieties which sit at the intersection of differential geometry, algebraic geometry, and number theory, and have played a central role in the development of the Langlands program. Although Shimura varieties ought to parameterize $\mathbb{Q}$-motives with extra structure, in the absence of a well-defined theory of $\mathbb{Q}$-motives, they are often studied by more indirect methods. That said, in recent years the work of Bhatt, Drinfeld, Lurie, and Scholze (among others) has begun to put the idea of $\mathbb{Z}_p$-motives on more firm footing using the prismatization (and syntomification) of $p$-adic formal schemes. In this series of talks, I will discuss some applications of this burgeoning theory of $\mathbb{Z}_p$-motives to the study of $p$-adic models of Shimura varieties.
