Advanced Search
DSpace@MIT

Equivariant coherent sheaves, Soergel bimodules, and categorification of affine Hecke algebras

Research and Teaching Output of the MIT Community

Show simple item record

dc.contributor.advisor Roman Bezrukavnikov. en_US
dc.contributor.author Dodd, Christopher Stephen en_US
dc.contributor.other Massachusetts Institute of Technology. Dept. of Mathematics. en_US
dc.date.accessioned 2011-12-19T18:51:32Z
dc.date.available 2011-12-19T18:51:32Z
dc.date.copyright 2011 en_US
dc.date.issued 2011 en_US
dc.identifier.uri http://hdl.handle.net/1721.1/67788
dc.description Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2011. en_US
dc.description Cataloged from PDF version of thesis. en_US
dc.description Includes bibliographical references (p. 97-100). en_US
dc.description.abstract In this thesis, we examine three different versions of "categorification" of the affine Hecke algebra and its periodic module: the first is by equivariant coherent sheaves on the Grothendieck resolution (and related objects), the second is by certain classes on bimodules over polynomial rings, called Soergel bimodules, and the third is by certain categories of constructible sheaves on the affine flag manifold (for the Langlands dual group). We prove results relating all three of these categorifications, and use them to deduce nontrivial equivalences of categories. In addition, our main theorem allows us to deduce the existence of a strict braid group action on all of the categories involved; which strengthens a theorem of Bezrukavnikov-Riche. en_US
dc.description.statementofresponsibility by Christopher Stephen Dodd. en_US
dc.format.extent 100 p. en_US
dc.language.iso eng en_US
dc.publisher Massachusetts Institute of Technology en_US
dc.rights 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. en_US
dc.rights.uri http://dspace.mit.edu/handle/1721.1/7582 en_US
dc.subject Mathematics. en_US
dc.title Equivariant coherent sheaves, Soergel bimodules, and categorification of affine Hecke algebras en_US
dc.type Thesis en_US
dc.description.degree Ph.D. en_US
dc.contributor.department Massachusetts Institute of Technology. Dept. of Mathematics. en_US
dc.identifier.oclc 767740351 en_US


Files in this item

Name Size Format Description
767740351.pdf 4.552Mb PDF Preview, non-printable (open to all)
767740351-MIT.pdf 4.551Mb PDF Full printable version (MIT only)

This item appears in the following Collection(s)

Show simple item record

MIT-Mirage