Lecture: Thursday 10am-1pm.
The aim of this course is to introduce the theory of Shimura varieties, and related topics. Key topics include: Abelian varieties and p-divisible groups, definition and classification of Shimura data, canonical models, integral models, zeta functions of Shimura varieties.
Students taking the course for a grade will be required to give an in-class presentation (40%) and write a short final paper (5-10 pages, 60%) on a chosen topic. Undergraduate students interested should contact me for approval to enroll.
Lecture schedule (tentative): TBA
Deligne: Travaux de Shimura. Séminaire Bourbaki 13 (1970-1971): 123-165.
Deligne: Varietes de Shimura: interpretation modulaire, et techniques de construction de modeles canoniques
Lan: An example-based introduction to Shimura varieties
Milne: Introduction to Shimura varieties