dc.contributor.author | Bezrukavnikov, Roman | |
dc.contributor.author | Kazhdan, David | |
dc.date.accessioned | 2017-06-22T19:36:18Z | |
dc.date.available | 2017-06-22T19:36:18Z | |
dc.date.issued | 2015-12 | |
dc.date.submitted | 2015-09 | |
dc.identifier.issn | 1088-4165 | |
dc.identifier.uri | http://hdl.handle.net/1721.1/110174 | |
dc.description.abstract | We present a geometric proof of second adjointness for a reductive p-adic group. Our approach is based on geometry of the wonderful compactification and related varieties. Considering asymptotic behavior of a function on the group in a neighborhood of a boundary stratum of the compactification, we get a “cospecialization” map between spaces of functions on various varieties carrying a G × G action. These maps can be viewed as maps of bimodules for the Hecke algebra, and the corresponding natural transformations of endo-functors of the module category lead to the second adjointness. We also get a formula for the “cospecialization” map expressing it as a composition of the orispheric transform and inverse intertwining operator; a parallel result for D-modules was obtained by Bezrukavnikov, Finkelberg and Ostrik. As a byproduct we obtain a formula for the Plancherel functional restricted to a certain commutative subalgebra in the Hecke algebra generalizing a result by Opdam. | en_US |
dc.description.sponsorship | National Science Foundation (U.S.) (grant DMS-1102434) | en_US |
dc.description.sponsorship | Simons Foundation | en_US |
dc.language.iso | en_US | |
dc.publisher | American Mathematical Society (AMS) | en_US |
dc.relation.isversionof | http://dx.doi.org/10.1090/ert/471 | en_US |
dc.rights | Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. | en_US |
dc.source | American Mathematical Society | en_US |
dc.title | GEOMETRY OF SECOND ADJOINTNESS FOR p-ADIC GROUPS | en_US |
dc.type | Article | en_US |
dc.identifier.citation | Bezrukavnikov, Roman, and David Kazhdan. “GEOMETRY OF SECOND ADJOINTNESS FOR p-ADIC GROUPS.” Represent. Theory 19, no. 14 (December 3, 2015): 299–332. © 2015 American Mathematical Society | en_US |
dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
dc.contributor.mitauthor | Bezrukavnikov, Roman | |
dc.relation.journal | Representation Theory | en_US |
dc.eprint.version | Final published version | en_US |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
dspace.orderedauthors | Bezrukavnikov, Roman; Kazhdan, David | en_US |
dspace.embargo.terms | N | en_US |
dc.identifier.orcid | https://orcid.org/0000-0001-5902-8989 | |
mit.license | PUBLISHER_POLICY | en_US |
mit.metadata.status | Complete | |