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

著者

• AMS Special Session on Harmonic Analysis and Representations of Reductive, p-adic Groups
• Doran, Robert S.
• Sally, Paul
• Spice, Loren

書誌事項

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

Robert S. Doran, Paul J. Sally, Jr., Loren Spice, editors

（Contemporary mathematics, 543）

American Mathematical Society, c2011

注記

Includes bibliographical references and index

内容説明・目次

内容説明

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.

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詳細情報

• NII書誌ID(NCID): BB06018815
• ISBN:
  • 9780821849859
• LCCN: 2011000976
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Providence, R.I.
• ページ数/冊数: xi, 277 p.
• 大きさ: 26 cm
• 分類:
  • LCC : QA387
  • DC22 : 512/.482
• 件名:
  • LCSH : Representations of Lie groups -- Congresses
  • LCSH : p-adic groups -- Congresses
  • LCSH : Harmonic analysis -- Congresses
  • FREE : Topological groups, Lie groups -- Lie groups -- Representations of Lie and linear algebraic groups over local fields. msc
  • FREE : Number theory -- Discontinuous groups and automorphic forms -- Representation-theoretic methods; automorphic representations over local and global fields. msc
  • FREE : Topological groups, Lie groups -- Lie groups -- Analysis on $p$-adic Lie groups. msc
  • FREE : Group theory and generalizations -- Linear algebraic groups and related topics -- Linear algebraic groups over local fields and their integers. msc
  • FREE : Group theory and generalizations -- Representation theory of groups -- Representations of finite groups of Lie type. msc
  • FREE : Group theory and generalizations -- Linear algebraic groups and related topics -- Linear algebraic groups over finite fields. msc
  • FREE : Group theory and generalizations -- Linear algebraic groups and related topics -- Representation theory. msc
• 親書誌ID:
  • BA00009927