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Formes automorphes. (I), Actes du semestre du Centre Émile Borel, printemps 2000

Author: Jacques Tilouine; Centre Émile Borel.; Société mathématique de France.
Publisher: Paris : Société mathématique de France, ©2005.
Series: Astérisque, 298.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
Ce volume est le premier d'une série de deux consacrés aux formes automorphes sous leurs aspects géométrique et arithmétique et à certains points du programme de Langlands. Les thèmes abordés dans ce volume concernent les formes modulaires p-adiques, la correspondance locale de Langlands pour GL(n), la cohomologie des variétés de Shimura, leur réduction modulo p et leurs stratifications associées aux
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Additional Physical Format: Online version:
Formes automorphes (I).
Paris : Société mathématique de France, ©2005
(OCoLC)655147236
Document Type: Book
All Authors / Contributors: Jacques Tilouine; Centre Émile Borel.; Société mathématique de France.
ISBN: 2856291724 9782856291726
OCLC Number: 60602706
Language Note: Contributions in English; abstracts in English and French.
Description: xviii, 410 pages ; 24 cm.
Contents: Questions about slopes of modular forms / K. Buzzard --
The local langlands correspondence: notes of (half) a course at the IHP Spring 2000 / M. Harris --
p-Adic automorphic forms on reductive groups / H. Hida --
Newton polygons and p-divisible groups: a conjecture by Grothendieck / F. Oort --
A guide to the reduction modulo p of Shimura varieties / M. Rapoport --
L-modules and the conjecture of Rapoport and Goresky-MacPherson / L. Saper --
On Langlands functoriality from classical groups to GL / D. Soudry --
On the Jacquet-Langlands correspondence in the cohomology of the Lubin-Tate deformation tower / M. Strauch.
Series Title: Astérisque, 298.
Other Titles: Actes du semestre du Centre Émile Borel, printemps 2000
Responsibility: édité par Jacques Tilouine [and others].

Abstract:

Ce volume est le premier d'une série de deux consacrés aux formes automorphes sous leurs aspects géométrique et arithmétique et à certains points du programme de Langlands. Les thèmes abordés dans ce volume concernent les formes modulaires p-adiques, la correspondance locale de Langlands pour GL(n), la cohomologie des variétés de Shimura, leur réduction modulo p et leurs stratifications associées aux polygones de Newton.

This volume is the first of a series of two devoted to automorphic forms from a geometric and arithmetic point of view. They also deal with certain parts of the Langlands program. The themes treated in this volume include /p/-adic modular forms, the local Langlands correspondence for /GL(n)/, the cohomology of Shimura varieties, their reduction modulo /p/, and their stratification by Newton polygons. The book is suitable for graduate students and research mathematicians interested in number theory, algebra, and algebraic geometry.

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