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pro vyhledávání: '"Olivier Taïbi"'
Autor:
Olivier Taïbi, Gaëtan Chenevier
Publikováno v:
Publications mathématiques de l'IHÉS. 131:261-323
The aim of this paper is twofold. First, we introduce a new method for evaluating the multiplicity of a given discrete series representation in the space of level 1 automorphic forms of a split classical group $G$ over $\mathbf {Z}$ , and provide num
Autor:
Olivier Taïbi, Toby Gee
Publikováno v:
Journal de l’École polytechnique — Mathématiques. 6:469-535
Autor:
Olivier Taïbi
Publikováno v:
Algebra Number Theory 12, no. 4 (2018), 833-884
We give an explicit construction of global Galois gerbes constructed more abstractly by Kaletha to define global rigid inner forms. This notion is crucial to formulate Arthur's multiplicity formula for inner forms of quasi-split reductive groups. As
Autor:
Olivier Taïbi
Publikováno v:
Mathematical Research Letters. 23:1167-1220
The goal of this paper is to remove the irreducibility hypothesis in a theorem of Richard Taylor describing the image of complex conjugations by $p$-adic Galois representations associated with regular, algebraic, essentially self-dual, cuspidal autom
Autor:
Jeffrey Adams, Olivier Taïbi
Publikováno v:
Duke Math. J. 167, no. 6 (2018), 1057-1097
Real forms of a complex reductive group are classified by Galois cohomology H^1(Gamma,G_ad) where G_ad is the adjoint group. Cartan's classification of real forms in terms of maximal compact subgroups can be stated in terms of H^(Z/2Z,G_ad) where the
Autor:
Olivier Taïbi
Let G be a special orthogonal group or an inner form of a symplectic group over a number field F such that there exists a non-empty set S of real places of F at which G has discrete series and outside of which G is quasi-split. We prove Arthur's mult
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