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A course of "Introduction t

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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

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