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Title: Variations on a theorem of Tate
Authors: Patrikis, Stefan Theodore
Advisors: Wiles, Andrew J.
Contributors: Mathematics Department
Subjects: Mathematics
Issue Date: 2012
Publisher: Princeton, NJ : Princeton University
Abstract: Let F be a number field, with absolute Galois group G. For any homomorphism r of G valued in the l-adic points of a linear algebraic group H, we consider lifting problems through covers H' of H with central torus kernel. By a theorem of Tate, elaborated by B. Conrad, any such continuous homomorphism to H lifts to H'. Largely motivated by a question of Conrad, who asked when geometric homomorphisms (in the sense of Fontaine-Mazur) should admit geometric liftings, we address a number of Galois-theoretic, automorphic, and motivic variants of the lifting problem.
Alternate format: The Mudd Manuscript Library retains one bound copy of each dissertation. Search for these copies in the library's main catalog
Type of Material: Academic dissertations (Ph.D.)
Language: en
Appears in Collections:Mathematics

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