Geometric Langlands in prime characteristic
Name
809543658-MIT.pdf
Description
Full printable version
Size
3.4 MB
Format
Adobe PDF
Checksum (MD5)
893261685e9ab95c415a64d86a1ff05f
Author(s)
Chen, Tsao-Hsien
Advisor(s)
Roman Bezrukavnikov.
Date Issued
2012
Publisher
Massachusetts Institute of Technology
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.
Description
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2012.
Cataloged from PDF version of thesis.
Includes bibliographical references (p. 109-110).
Subjects
Mathematics.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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