Mirror symmetry and the K theory of a p-adic group
Name
958693313-MIT.pdf
Description
Full printable version
Size
3.29 MB
Format
Adobe PDF
Checksum (MD5)
d70aaba8024c7f39b74b2c7b8a177f56
Author(s)
Vaintrob, Dmitry
Advisor(s)
Roman Bezrukavnikov.
Date Issued
2016
Publisher
Massachusetts Institute of Technology
Abstract
Let G be a split, semisimple p-adic group. We construct a derived localization functor Loc : ... from the compactified category of [BK2] associated to G to the category of equivariant sheaves on the Bruhat-Tits building whose stalks have finite-multiplicity isotypic components as representations of the stabilizer. Our construction is motivated by the "coherent-constructible correspondence" functor in toric mirror symmetry and a construction of [CCC]. We show that Loc has a number of useful properties, including the fact that the sections ... compactifying the finitely-generated representation V. We also construct a depth
Description
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2016.
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 59-61).
Subjects
Mathematics.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission.
Persistent DSpace Link
