Titre : | Harmonic analysis on reductive, p-adic groups : AMS special session on harmonic analysis and representations of reductive, p-adic groups, january 16, 2010, San Francisco, CA | Type de document : | texte imprimé | Auteurs : | Robert S. DORAN, Editeur scientifique ; Paul J. SALLY, Editeur scientifique ; Loren SPICE, Editeur scientifique | Editeur : | Providence, R. I. [Etats Unis] : American Mathematical Society | Année de publication : | cop. 2011 | Collection : | Contemporary mathematics, ISSN 0271-4132 num. 543 | Importance : | XI-277 p. | Présentation : | ill. | ISBN/ISSN/EAN : | 978-0-8218-4985-9 | Langues : | Anglais | Catégories : | 11F70 20C33 20G25 22E35 22E50
| Mots-clés : | groupes de Lie groupe p-adique analyse harmonique | Résumé : | This volume contains the proceedings of the AMS Special Session on Harmonic Analysis and Representations of Reductive, p-adic Groups, which was held on January 16, 2010, in San Francisco, California.
One of the original guiding philosophies of harmonic analysis on p-adic groups was Harish-Chandra's Lefschetz principle, which suggested a strong analogy with real groups. From this beginning, the subject has developed a surprising variety of tools and applications. To mention just a few, Moy-Prasad's development of Bruhat-Tits theory relates analysis to group actions on locally finite polysimplicial complexes; the Aubert-Baum-Plymen conjecture relates the local Langlands conjecture to the Baum-Connes conjecture via a geometric description of the Bernstein spectrum; the p-adic analogues of classical symmetric spaces play an essential role in classifying representations; and character sheaves, originally developed by Lusztig in the context of finite groups of Lie type, also have connections to characters of p-adic groups.
The papers in this volume present both expository and research articles on these and related topics, presenting a broad picture of the current state of the art in p-adic harmonic analysis. The concepts are liberally illustrated with examples, usually appropriate for an upper-level graduate student in representation theory or number theory. The concrete case of the two-by-two special linear group is a constant touchstone. | Note de contenu : | références |
Harmonic analysis on reductive, p-adic groups : AMS special session on harmonic analysis and representations of reductive, p-adic groups, january 16, 2010, San Francisco, CA [texte imprimé] / Robert S. DORAN, Editeur scientifique ; Paul J. SALLY, Editeur scientifique ; Loren SPICE, Editeur scientifique . - Providence, R. I. (Etats Unis) : American Mathematical Society, cop. 2011 . - XI-277 p. : ill.. - ( Contemporary mathematics, ISSN 0271-4132; 543) . ISBN : 978-0-8218-4985-9 Langues : Anglais Catégories : | 11F70 20C33 20G25 22E35 22E50
| Mots-clés : | groupes de Lie groupe p-adique analyse harmonique | Résumé : | This volume contains the proceedings of the AMS Special Session on Harmonic Analysis and Representations of Reductive, p-adic Groups, which was held on January 16, 2010, in San Francisco, California.
One of the original guiding philosophies of harmonic analysis on p-adic groups was Harish-Chandra's Lefschetz principle, which suggested a strong analogy with real groups. From this beginning, the subject has developed a surprising variety of tools and applications. To mention just a few, Moy-Prasad's development of Bruhat-Tits theory relates analysis to group actions on locally finite polysimplicial complexes; the Aubert-Baum-Plymen conjecture relates the local Langlands conjecture to the Baum-Connes conjecture via a geometric description of the Bernstein spectrum; the p-adic analogues of classical symmetric spaces play an essential role in classifying representations; and character sheaves, originally developed by Lusztig in the context of finite groups of Lie type, also have connections to characters of p-adic groups.
The papers in this volume present both expository and research articles on these and related topics, presenting a broad picture of the current state of the art in p-adic harmonic analysis. The concepts are liberally illustrated with examples, usually appropriate for an upper-level graduate student in representation theory or number theory. The concrete case of the two-by-two special linear group is a constant touchstone. | Note de contenu : | références |
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