Shimura varieties

Verfasser / Beitragende:
edited by Thomas Haines, Michael Harris
Ort, Verlag, Jahr:
Cambridge, New York : Cambridge University Press, 2019
Beschreibung:
1 online resource (volumes cm.)
Format:
Buch (online)
ID: 586133372
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264 1 |a Cambridge  |a New York  |b Cambridge University Press  |c 2019 
300 |a 1 online resource (volumes cm.) 
336 |a text  |b txt  |2 rdacontent/eng 
337 |a computer  |b c  |2 rdamedia/eng 
338 |a online resource  |b cr  |2 rdacarrier/eng 
490 0 |a London Mathematical Society lecture note series  |v 457 
500 |a "This volume forms the sequel to On the stabilization of the trace formula published by International Press of Boston, Inc., 2011." 
504 |a Includes bibliographical references. 
505 0 |a 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. 
506 |a Lizenzbedingungen können den Zugang einschränken. License restrictions may limit access. 
520 |a "This is the second volume of a projected series of two or three collections of mainly expository articles on the arithmetic theory of automorphic forms. The books are intended primarily for two groups of readers. The first group is interested in the structure of automorphic forms on reductive groups over number fields, and specifically in qualitative information about the multiplicities of automorphic representations. The second group is interested in the problem of classifying I-adic representations of Galois groups of number fields. Langlands' conjectures elaborate on the notion that these two problems overlap to a considerable degree. The goal of this series of books is to gather into one place much of the evidence that this is the case, and to present it clearly and succinctly enough so that both groups of readers are not only convinced by the evidence but can pass with minimal effort between the two points of view. More than a decade's worth of progress toward the stabilization of the Arthur-Selberg trace formula, culminating in Ngo Bau Chau's proof of the Fundamental Lemma, has made this series timely"-- 
546 |a Text in English with one contribution in French. 
650 0 |a Shimura varieties 
650 0 |a Automorphic forms 
700 1 |a Haines  |D Thomas J.  |e editor 
700 1 |a Harris  |D Michael  |d 1954-  |e editor 
780 0 |t On the stabilization of the trace formula.  |7 (OCoLC)823375819 
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856 4 0 |u https://doi.org/10.1017/9781108649711  |z Uni Bern: Volltext 
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950 |B IDSBB  |P 490  |E 0-  |a London Mathematical Society lecture note series  |v 457 
950 |B IDSBB  |P 700  |E 1-  |a Haines  |D Thomas J.  |e editor 
950 |B IDSBB  |P 700  |E 1-  |a Harris  |D Michael  |d 1954-  |e editor 
950 |B IDSBB  |P 780  |E -0  |t On the stabilization of the trace formula  |7 (OCoLC)823375819 
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