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Around Langlands Correspondences

Edited by: Farrell Brumley Université Paris 13, Villetaneuse, France
Maria Paula Gómez Aparicio Université Paris-Sud 11, Orsay, France
Alberto Mínguez Université Pierre et Marie Curie, Paris, France
Available Formats:
Softcover ISBN: 978-1-4704-3573-8
Product Code: CONM/691
List Price: $111.00 MAA Member Price:$99.90
AMS Member Price: $88.80 Electronic ISBN: 978-1-4704-4117-3 Product Code: CONM/691.E List Price:$111.00
MAA Member Price: $99.90 AMS Member Price:$88.80
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List Price: $166.50 MAA Member Price:$149.85
AMS Member Price: $133.20 Click above image for expanded view Around Langlands Correspondences Edited by: Farrell Brumley Université Paris 13, Villetaneuse, France Maria Paula Gómez Aparicio Université Paris-Sud 11, Orsay, France Alberto Mínguez Université Pierre et Marie Curie, Paris, France Available Formats:  Softcover ISBN: 978-1-4704-3573-8 Product Code: CONM/691  List Price:$111.00 MAA Member Price: $99.90 AMS Member Price:$88.80
 Electronic ISBN: 978-1-4704-4117-3 Product Code: CONM/691.E
 List Price: $111.00 MAA Member Price:$99.90 AMS Member Price: $88.80 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$166.50 MAA Member Price: $149.85 AMS Member Price:$133.20
• Book Details

Contemporary Mathematics
Volume: 6912017; 376 pp
MSC: Primary 20; 22; 11; 19;

This volume contains the proceedings of the international conference “Around Langlands Correspondences”, held from June 17–20, 2015, at Université Paris Sud in Orsay, France.

The Langlands correspondence (nowadays called the usual Langlands correspondence), conjectured by Robert Langlands in the late 1960s and early 1970s, has recently seen some new mysterious generalizations: the modular Langlands correspondence, the $p$-adic Langlands correspondence, and the geometric Langlands correspondence, the last of which seems to share deep connections with the Baum-Connes conjecture.

The aim of this volume is to present, through a mix of research and expository articles, some of the fascinating new directions in number theory and representation theory arising from recent developments in the Langlands program. Special emphasis is placed on nonclassical versions of the conjectural Langlands correspondences, where the underlying field is no longer the complex numbers.

Graduate students and research mathematicians interested in automorphic forms, representation theory, and the Langlands program.

• Articles
• Noriyuki Abe - Change of weight theorem for pro-$p$-Iwahori Hecke algebras
• Anne-Marie Aubert, Paul Baum, Roger Plymen and Maarten Solleveld - Conjectures about $p$-adic groups and their noncommutative geometry
• Indira Chatterji - Introduction to the Rapid Decay property
• Tyrone Crisp and Nigel Higson - A second adjoint theorem for ${SL(2,\mathbb {R})}$
• Jean-François Dat - A functoriality principle for blocks of $p$-adic linear groups
• Agnès David - Poids de Serre dans la conjecture de Breuil–Mézard
• Naoki Imai and Takahiro Tsushima - Affinoids in Lubin-Tate surfaces with exponential full level two
• Jie Lin - An automorphic variant of a conjecture of Deligne
• Colette Moeglin and David Renard - Paquets d’Arthur des groupes classiques complexes
• Ahmed Moussaoui - Proof of the Aubert-Baum-Plymen-Solleveld conjecture for split classical groups
• Enno Nagel - From crystalline to unitary representations
• Alexander Stasinski - Representations of $\mathrm {GL}_N$ over finite local principal ideal rings: An overview
• Julianna Tymoczko - The geometry and combinatorics of Springer fibers

• Requests

Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Volume: 6912017; 376 pp
MSC: Primary 20; 22; 11; 19;

This volume contains the proceedings of the international conference “Around Langlands Correspondences”, held from June 17–20, 2015, at Université Paris Sud in Orsay, France.

The Langlands correspondence (nowadays called the usual Langlands correspondence), conjectured by Robert Langlands in the late 1960s and early 1970s, has recently seen some new mysterious generalizations: the modular Langlands correspondence, the $p$-adic Langlands correspondence, and the geometric Langlands correspondence, the last of which seems to share deep connections with the Baum-Connes conjecture.

The aim of this volume is to present, through a mix of research and expository articles, some of the fascinating new directions in number theory and representation theory arising from recent developments in the Langlands program. Special emphasis is placed on nonclassical versions of the conjectural Langlands correspondences, where the underlying field is no longer the complex numbers.

Graduate students and research mathematicians interested in automorphic forms, representation theory, and the Langlands program.

• Articles
• Noriyuki Abe - Change of weight theorem for pro-$p$-Iwahori Hecke algebras
• Anne-Marie Aubert, Paul Baum, Roger Plymen and Maarten Solleveld - Conjectures about $p$-adic groups and their noncommutative geometry
• Indira Chatterji - Introduction to the Rapid Decay property
• Tyrone Crisp and Nigel Higson - A second adjoint theorem for ${SL(2,\mathbb {R})}$
• Jean-François Dat - A functoriality principle for blocks of $p$-adic linear groups
• Agnès David - Poids de Serre dans la conjecture de Breuil–Mézard
• Naoki Imai and Takahiro Tsushima - Affinoids in Lubin-Tate surfaces with exponential full level two
• Jie Lin - An automorphic variant of a conjecture of Deligne
• Colette Moeglin and David Renard - Paquets d’Arthur des groupes classiques complexes
• Ahmed Moussaoui - Proof of the Aubert-Baum-Plymen-Solleveld conjecture for split classical groups
• Enno Nagel - From crystalline to unitary representations
• Alexander Stasinski - Representations of $\mathrm {GL}_N$ over finite local principal ideal rings: An overview
• Julianna Tymoczko - The geometry and combinatorics of Springer fibers
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