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Item Details
| Title:
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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 |
| By: |
Robert S. Doran (Editor), Paul J. Sally (Editor), Loren Spice (Editor) |
| Format: |
Paperback |
| List price:
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£114.00 |
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| ISBN 10: |
0821849859 |
| ISBN 13: |
9780821849859 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
15 June, 2011 |
| Series: |
Contemporary Mathematics 543 |
| Pages: |
277 |
| Description: |
The papers in this volume present 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. |
| Synopsis: |
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. |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Returnable |
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