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
LECTURE NOTES
Hermitian symmetric domains
Hodge structures and Shimura data
Locally symmetric varieties
Harish-Chandra embedding
Connected Shimura varieties and Shimura varieties
REFERENCES：
Milne, Introduction to Shimura varieties
Milne, Shimura varieties and moduli
Deligne, Travaux de Shimura
Cornut, A course on Shimura varieties at Jussieu
B. Conrad, A Stanford seminar on Shimura varieties
V. Rotgers, Introductory notes for a seminar in Barcelona
A. Genestier and B.C.Ngo - good notes on PEL Shimura varieties
M. Harris - A course on Shimura varieties in Jussieu
P. Clark - Good notes on Shimura curves
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