Geometric Langlands in prime characteristic

dc.contributor.advisor	Roman Bezrukavnikov.	en_US
dc.contributor.author	Chen, Tsao-Hsien	en_US
dc.contributor.other	Massachusetts Institute of Technology. Dept. of Mathematics.	en_US
dc.date.accessioned	2012-09-27T15:25:09Z
dc.date.available	2012-09-27T15:25:09Z
dc.date.copyright	2012	en_US
dc.date.issued	2012	en_US
dc.identifier.uri	http://hdl.handle.net/1721.1/73359
dc.description	Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2012.	en_US
dc.description	Cataloged from PDF version of thesis.	en_US
dc.description	Includes bibliographical references (p. 109-110).	en_US
dc.description.abstract	Let C be a smooth projective curve over an algebraically closed field k of sufficiently large characteristic. Let G be a semisimple algebraic group over k and let GV be its Langlands dual group over k. Denote by BunG the moduli stack of G-bundles on C and LocSysGv the moduli stack of Gv-local systems on C. Let DBunG be the sheaf of crystalline differential operator algebra on BunG. In this thesis I construct an equivalence between the derived category D(QCoh(LocSys~v)) of quasi-coherent sheaves on some open subset LocSysov C LocSysGv and derived category D(DOunG mod) of modules over some localization DBunG of DBunG. This generalizes the work of Bezrukavnikov-Braverman in the GL, case.	en_US
dc.description.statementofresponsibility	by Tsao-Hsien Chen.	en_US
dc.format.extent	110 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	Geometric Langlands in prime characteristic	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	809543658	en_US