Deformations of galois representations
WebAug 1, 2016 · Download Citation Deformations of Galois representations and exceptional monodromy For any simple algebraic group G of exceptional type, we … WebAug 1, 2016 · Download Citation Deformations of Galois representations and exceptional monodromy For any simple algebraic group G of exceptional type, we construct geometric ℓ\documentclass[12pt]{minimal ...
Deformations of galois representations
Did you know?
WebDeformations of Galois representations and exceptional monodromy (Inventiones Mathematicae 205 (2)) For any simple algebraic group G of exceptional type, this paper constructs geometric l-adic representations with algebraic monodromy group G. Along the way it establishes a generalization to any reductive group of Ravi Ramakrishna's lifting ... WebGiven an automorphic representation π of SO(n, n + 1) with certain nice properties at infinity, one can nowadays attach to π a p-adic Galois representation R of dimension 2n. The Bloch–Kato conjectures then predict in particular that if the L-function of R vanishes at its central value, then the Selmer group attached to a particular twist ...
WebREVIEW OF GALOIS DEFORMATIONS 3 More generally, if δ: GL N →GL M is a homomorphism of group schemes, we get a natural map of deformation rings R(δ(ρ)) … WebAug 25, 2016 · We define a derived version of Mazur's Galois deformation ring. It is a pro-simplicial ring $\\mathcal{R}$ classifying deformations of a fixed Galois representation to simplicial coefficient rings; its zeroth homotopy group $π_0 \\mathcal{R}$ recovers Mazur's deformation ring. We give evidence that these rings $\\mathcal{R}$ occur in the wild: For …
WebFeb 25, 2014 · 02/25/2014. Deformations of Galois representations. The global Langlands correspondence is roughly a correspondence between automorphic forms … WebDocumenta Math. 573 On the Structure of Selmer Groups of Λ-AdicDeformations over p-AdicLie Extensions SudhanshuShekharand R. Sujatha Received: September 14,2011 …
WebMar 17, 2024 · We define a derived version of Mazur's Galois deformation ring. It is a pro-simplicial ring R classifying deformations of a fixed Galois representation to simplicial …
WebJul 10, 2009 · The aim of the three main courses is to present an overview of many of these ideas and applications, aimed at advanced graduate students and post docs with a strong background in number theory, … truck driver tax deductions listWebFeb 6, 2024 · Patrikis, S., ‘ Deformations of Galois representations and exceptional monodromy, II: raising the level ’, Math. Ann. 368 (3–4) (2024), 1465 – 1491. CrossRef Google Scholar [Ram02] truck driver slowdownWebWe prove the vanishing of the geometric Bloch-Kato Selmer group for the adjoint representation of a Galois representation associated to regular algebraic polarized … truck driver shortage 2022WebAug 16, 2024 · Abstract. In this article, we study deformations of conjugate self-dual Galois representations. The study has two folds. First, we prove an R=T type theorem for a conjugate self-dual Galois ... truck driver tax preparation near meWebJan 1, 2013 · Abstract. These lecture notes give an introduction to deformations of Galois representations with an eye toward the application of this theory in the proof of the … truck driver statisticsWebFor any simple algebraic group G of exceptional type, we construct geometric $$\\ell $$ ℓ -adic Galois representations with algebraic monodromy group equal to G, in particular producing the first such examples in types $$\\mathrm {F}_4$$ F 4 and $$\\mathrm {E}_6$$ E 6 . To do this, we extend to general reductive groups Ravi Ramakrishna’s techniques … truck driver ticket lawyersWebDeformations of Galois Representations 9 3. Generalizing Ramakrishna’s Method 13 4. Representatives for Nilpotent Orbits 17 5. Smoothness of Centralizers of Pure Nilpotents 19 6. Minimally Rami ed Deformations: Tame Case 25 7. Minimally Rami ed Deformations of Symplectic and Orthogonal Groups 31 8. Fontaine-La aille Theory with Pairings 41 truck driver thank you letter