大葉大學圖書館 |

Shimura varieties[electronic resource] /

紀錄類型:	書目-電子資源 : Monograph/item
杜威分類號:	516.35
書名/作者:	Shimura varieties/ edited by Thomas Haines, Michael Harris.
其他作者:	Haines, Thomas.
出版者:	Cambridge : : Cambridge University Press,, 2020.
面頁冊數:	333 p. : : ill., digital ;; 23 cm.
附註:	Title from publisher's bibliographic system (viewed on 07 Feb 2020).
標題:	Shimura varieties.
標題:	Automorphic forms.
ISBN:	9781108649711
ISBN:	9781108704861
內容註:	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.
摘要、提要註:	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 automorphic forms on reductive groups over number fields, and specifically in qualitative information on multiplicities of automorphic representations; and those interested in the classification of I-adic representations of Galois groups of number fields. Langlands' conjectures elaborate on the notion that these two problems overlap considerably. These volumes present convincing evidence supporting this, clearly and succinctly enough that readers can pass with minimal effort between the two points of view. Over 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, makes this series timely.
電子資源:	https://doi.org/10.1017/9781108649711

Shimura varieties[electronic resource] /
Shimura varieties[electronic resource] /edited by Thomas Haines, Michael Harris. - Cambridge :Cambridge University Press,2020. - 333 p. :ill., digital ;23 cm. - London Mathematical Society lecture note series;457. - London Mathematical Society lecture note series;457..

Title from publisher's bibliographic system (viewed on 07 Feb 2020).

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.

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 automorphic forms on reductive groups over number fields, and specifically in qualitative information on multiplicities of automorphic representations; and those interested in the classification of I-adic representations of Galois groups of number fields. Langlands' conjectures elaborate on the notion that these two problems overlap considerably. These volumes present convincing evidence supporting this, clearly and succinctly enough that readers can pass with minimal effort between the two points of view. Over 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, makes this series timely.

ISBN: 9781108649711Subjects--Topical Terms:

748393
Shimura varieties.

LC Class. No.: QA242.5 / .S45 2020

Dewey Class. No.: 516.35

Shimura varieties[electronic resource] /
LDR:02839nmm a2200277 a 4500 001 522912
003 UkCbUP
005 20200210144015.0
006 m d
007 cr nn 008maaau
008 230416s2020 enk o 1 0 eng d
020 $a 9781108649711 $q (electronic bk.)
020 $a 9781108704861 $q (paperback)
035 $a CR9781108649711
040 $a UkCbUP $b eng $c UkCbUP $d GP
041 0 $a eng $a fre
050 0 0 $a QA242.5 $b .S45 2020
082 0 0 $a 516.35 $2 23
090 $a QA242.5 $b .S556 2020
245 0 0 $a Shimura varieties $h [electronic resource] / $c edited by Thomas Haines, Michael Harris.
260 $a Cambridge : $b Cambridge University Press, $c 2020.
300 $a 333 p. : $b ill., digital ; $c 23 cm.
490 1 $a London Mathematical Society lecture note series; $v 457
500 $a Title from publisher's bibliographic system (viewed on 07 Feb 2020).
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.
520 $a 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 automorphic forms on reductive groups over number fields, and specifically in qualitative information on multiplicities of automorphic representations; and those interested in the classification of I-adic representations of Galois groups of number fields. Langlands' conjectures elaborate on the notion that these two problems overlap considerably. These volumes present convincing evidence supporting this, clearly and succinctly enough that readers can pass with minimal effort between the two points of view. Over 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, makes this series timely.
650 0 $a Shimura varieties. $3 748393
650 0 $a Automorphic forms. $3 511587
700 1 $a Haines, Thomas. $3 748390
700 1 $a Harris, Michael. $3 748391
830 0 $a London Mathematical Society lecture note series; $v 457. $3 748392
856 4 0 $u https://doi.org/10.1017/9781108649711