Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 9 of 9 for “"Galois Representation"”.
-
Level raising for automorphic representations of GL(2n)
… conjugate self-dual, cuspidal automorphic representation $\Pi$ of $\mathrm{GL}(N)$ over a CM number field $E$ (or, more generally, to a regular algebraic isobaric sum of conjugate self-dual, cuspidal representations), we can attach a continuous $\ell$-adic Galois representation $r(\Pi)$ of …
-
On a Local-Global Conjecture in Galois Deformation Theory
… which says that given an odd irreducible mod p Galois representation, there exist lifts which behave according to prescribed behavior when restricted to inertia subgroups at certain rational primes. We prove that the conjecture holds when a cohomological criterion is imposed on the mod p …
-
Good reduction of 1-motives
… how the image of the Frobenius in the ℓ-adic Galois representation associated to a 1-motive determines the ℓ-part of its reduction modulo the corresponding prime. We use this theory to investigate a family of properties for points in tori which we call algebraic dependences. In particular, we …
-
Selmer groups as flat cohomology groups
… Selpmn A need not be determined by the mod pm Galois representation A[pm]; we show, however, that this is the case if p is large enough. More precisely, we exhibit a finite explicit set of rational primes E depending on K and A, such that Selpm A is determined by A[pm] for all ... In the course …
-
Iwasawa theory for tensor products of Hilbert modular forms
… pair of elliptic curves share the same residual Galois representation, then the main conjecture holds for one if and only if it does for the other. The first part of this thesis investigates whether the ideas of Greenberg and Vatsal work for elliptic curves twisted by a CM-Hecke character. The …
-
PSL(2,7)-Extensions with Certain Ramification at Two Primes
We conduct a parallel Hunter search in order to find a degree 7 number field K ramified at primes q and p with discriminant d(K)=q^6 p^2 where q=11 and 2<p<104. The number field we seek will satisfy certain criteria allowing for refinement of a conjecture of Ash, Doud, and Pollack. In the course of …
-
Emerton-Gee Stacks, Serre Weights, and Breuil-Mézard Conjectures for GSp_4
… formulated by Gee-Herzig-Savitt for global Galois representations valued in GSp_4 satisfying Taylor--Wiles conditions, and a modularity lifting result for tamely potentially crystalline representations.
-
The Taylor-Wiles method for reductive groups
… a local deformation problem for residual Galois representations ρ valued in an arbitrary reductive group Ĝ which we use to develop a variant of the Taylor–Wiles method. Our generalization allows Taylor–Wiles places for which the image of Frobenius is semisimple, a weakening of the regular …