Introduction to Shimura Varieties by École polytechnique fédérale de Lausanne(洛桑联邦理工)
**COURSE DESCRIPTION **
A graduate course on Shimura varieties. The aim is to provide the basic background on Shimura varieties. Some of the topics to be discussed are:
- Hermitian symmetric domains
- Hodge structures
- Shimura data, connected Shimura varieties and Shimura varieties
- Canonical models
- Complex multiplication and special points
- Galois action on special points and connected components
- Shimura varieties of PEL type
- The zeta function of a Shimura variety