Shimura varieties

This is the second volume of a series of mainly expository articles on the arithmetic theory of automorphic forms. It forms a sequel to On the Stabilization of the Trace Formula published in 2011. The books are intended primarily for two groups of readers: those interested in the structure of automo...

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Bibliographic Details
Other Authors: Haines, Thomas (Editor), Harris, Michael (Editor)
Format: eBook
Language:English
Published: Cambridge Cambridge University Press 2020
Series:London Mathematical Society lecture note series
Subjects:
Online Access:
Collection: Cambridge Books Online - Collection details see MPG.ReNa
Table of Contents:
  • Introduction to Volume II / T. J. Haines and M. Harris
  • Lectures on Shimura varieties / A. Genestier and B.C. Ngô
  • Unitary Shimura varieties / Marc-Hubert Nicole
  • Integral models of Shimura varieties of PEL type / Sandra Rozensztajn
  • Introduction to the Langlands-Kottwitz method / Yihang Zhu
  • Integral Canonical Models of Shimura varieties : an update / Mark Kisin
  • The Newton stratification / Elena Mantovan
  • On the geometry of the Newton stratification / Eva Viehmann
  • Construction of automorphic Galois representations : the self-dual case / Sug Woo Shin
  • The local Langlands correspondence for GLn over p-adic fields, and the cohomology of compact unitary Shimura varieties / Peter Scholze
  • Une application des variétés de Hecke des groupes unitaires / Gaëtan Chenevier
  • A patching lemma / Claus M. Sorensen
  • On subquotients of the étale cohomology of Shimura varieties / Christian Johansson and Jack A. Thorne