Results 31 to 40 of about 702,417 (178)
ENDOSCOPY AND COHOMOLOGY IN A TOWER OF CONGRUENCE MANIFOLDS FOR $U(n,1)$
Forum of Mathematics, Sigma, 2019 By assuming the endoscopic classification of automorphic representations on inner forms of unitary groups, which is currently work in progress by Kaletha, Minguez, Shin, and White, we bound the growth of cohomology in congruence towers of locally ...
SIMON MARSHALL, SUG WOO SHIN
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On the images of the Galois representations attached to generic automorphic representations of GSp(4) [PDF]
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2016 By making use of Langlands functoriality between GSp(4) and GL(4), we show that the images of the Galois representations attached to “genuine” globally generic automorphic representations of GSp(4) are “large” for a set of primes of density one ...
L. Dieulefait, A. Zenteno
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Fields of rationality of automorphic representations: The case of unitary groups [PDF]
Journal of Number Theory, 2016 This paper examines fields of rationality in families of cuspidal automorphic representations of unitary groups. Specifically, for a fixed $A$ and a sufficiently large family $\mathcal{F}$, a small proportion of representations $\pi\in \mathcal{F}$ will ...
John Binder
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A Representation Theorem for the Lorentz Cone Automorphisms
Journal of Optimization Theory and Applications, 2022 In this note we prove a representation theorem for the symmetric cone automorphisms in the spin algebra\, $\Ln$.
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Representation stability and outer automorphism groups
Documenta Mathematica, 2022 In this paper we study families of representations of the outer automorphism groups indexed on a collection of finite groups \mathcal{U} . We encode this large amount of data into a convenient abelian category which generalizes the category of VI ...
Pol, Luca, Strickland, Neil Patrick
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Fourier coefficients attached to small automorphic representations of SLn(A)
Journal of Number Theory, 2018 We show that Fourier coefficients of automorphic forms attached to minimal or next-to-minimal automorphic representations of SLn(A) are completely determined by certain highly degenerate Whittaker coefficients. We give an explicit formula for the Fourier
O. Ahlén +4 more
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Eisenstein Series and Automorphic Representations [PDF]
, 2015 We provide an introduction to the theory of Eisenstein series and automorphic forms on real simple Lie groups G, emphasising the role of representation theory. It is useful to take a slightly wider view and define all objects over the (rational) adeles A,
P. Fleig +3 more
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Adjoint Selmer groups of automorphic Galois representations of unitary type [PDF]
Journal of the European Mathematical Society (Print), 2019 Let $\rho$ be the $p$-adic Galois representation attached to a cuspidal, regular algebraic automorphic representation of $\mathrm{GL}_n$ of unitary type.
James Newton, J. Thorne
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A Quantization Procedure of Fields Based on Geometric Langlands Correspondence
International Journal of Mathematics and Mathematical Sciences, 2009 We expose a new procedure of quantization of fields, based on the Geometric Langlands Correspondence. Starting from fields in the target space, we first reduce them to the case of fields on one-complex-variable target space, at the same time increasing ...
Do Ngoc Diep
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The Ramanujan and Sato–Tate Conjectures for Bianchi modular forms
Forum of Mathematics, PiWe prove the Ramanujan and Sato–Tate conjectures for Bianchi modular forms of weight at least $2$ . More generally, we prove these conjectures for all regular algebraic cuspidal automorphic representations of $\operatorname {\mathrm {GL}}_2 ...
George Boxer +4 more
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