cam a22 8 4500 586133372 CHVBK 20200915045739.0 m d cr |n |||||||| 191125s2019 enk sb 000 0 eng d 2019037003 978-1-108-70486-1 (paperback) 978-1-108-64971-1 (epub) (SERSOL)ssj0002257078 (WaSeSS)ssj0002257078 LBSOR/DLC eng DLC WaSeSS rda eng fre QA242.5 .S45 2019 516.3/5 23 Shimura varieties edited by Thomas Haines, Michael Harris 1911 Cambridge New York Cambridge University Press 2019 1 online resource (volumes cm.) text txt rdacontent/eng computer c rdamedia/eng online resource cr rdacarrier/eng London Mathematical Society lecture note series 457 "This volume forms the sequel to On the stabilization of the trace formula published by International Press of Boston, Inc., 2011." Includes bibliographical references. 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. Lizenzbedingungen können den Zugang einschränken. License restrictions may limit access. "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"-- Text in English with one contribution in French. Shimura varieties Automorphic forms Haines Thomas J. editor Harris Michael 1954- editor On the stabilization of the trace formula. (OCoLC)823375819 https://doi.org/10.1017/9781108649711 Uni Basel: Volltext https://doi.org/10.1017/9781108649711 Uni Bern: Volltext BK020053 XK020053 XK020000 Cambridge Core EBA eBooks Complete Collection E-Books von 360MarcUpdates IDSBB A145 A145 145VT https://doi.org/10.1017/9781108649711 NELA1452009 IDSBB B405 B405 405VT https://doi.org/10.1017/9781108649711 NELB4052004 IDSBB 490 0- London Mathematical Society lecture note series 457 IDSBB 700 1- Haines Thomas J. editor IDSBB 700 1- Harris Michael 1954- editor IDSBB 780 -0 On the stabilization of the trace formula (OCoLC)823375819 IDSBB 856 40 https://doi.org/10.1017/9781108649711 Uni Basel: Volltext IDSBB 856 40 https://doi.org/10.1017/9781108649711 Uni Bern: Volltext SWISSBIB 581318765