Harmonic Analysis on Reductive, p-adic Groups Paperback / softback
Edited by Robert S. Doran, Paul J. Sally, Loren Spice
Part of the Contemporary Mathematics series
Paperback / softback
Description
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.
Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:277 pages
- Publisher:American Mathematical Society
- Publication Date:30/06/2011
- Category:
- ISBN:9780821849859
Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:277 pages
- Publisher:American Mathematical Society
- Publication Date:30/06/2011
- Category:
- ISBN:9780821849859
