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pro vyhledávání: '"11F85, 22E50"'
Autor:
Asgari, Mahdi, Choiy, Kwangho
Publikováno v:
Journal of Number Theory Volume 265 (2024), 76-116
We prove a conjecture of B. Gross and D. Prasad about determination of generic $L$-packets in terms of the analytic properties of the adjoint $L$-function for $p$-adic general even spin groups of semi-simple ranks 2 and 3. We also explicitly write th
Externí odkaz:
http://arxiv.org/abs/2301.05348
Autor:
Jo, Yeongseong, Krishnamurthy, Muthu
Let $F$ be a non-archimedean local field of characteristic not equal to $2$ and let $E/F$ be a quadratic algebra. We prove the stability of local factors attached to (complex) irreducible admissible representations of $GL(2,E)$ via the Rankin-Selberg
Externí odkaz:
http://arxiv.org/abs/1906.06585
Autor:
Hu, Yueke, Saha, Abhishek
We improve upon the local bound in the depth aspect for sup-norms of newforms on $D^\times$ where $D$ is an indefinite quaternion division algebra over $\mathbb{Q}$. Our sup-norm bound implies a depth-aspect subconvexity bound for $L(1/2, f \times \t
Externí odkaz:
http://arxiv.org/abs/1905.06295
Using a patching module constructed in recent work of Caraiani, Emerton, Gee, Geraghty, Pa{\v{s}}k{\=u}nas and Shin we construct some kind of analogue of an eigenvariety. We can show that this patched eigenvariety agrees with a union of irreducible c
Externí odkaz:
http://arxiv.org/abs/1411.7260
Autor:
Bergdall, John, Chojecki, Przemyslaw
We prove that certain p-adic Banach representations, associated to local ordinary Galois representations, constructed by Breuil and Herzig appears in the completed cohomology of a definite unitary group in three variables. This confirms part of their
Externí odkaz:
http://arxiv.org/abs/1405.3026
Akademický článek
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Autor:
Miyauchi, Michitaka, Yamauchi, Takuya
In this paper, we give a method to compute p-stabilized vectors in the space of parahori-fixed vectors for connected reductive groups over p-adic fields. The application to the global setting is also discussed. In particular, we give an explicit p-st
Externí odkaz:
http://arxiv.org/abs/1210.2608
Autor:
Abdellatif, Ramla, Morra, Stefano
Publikováno v:
Manuscripta Mathematica 143, (2014), 191-206
Let p be an odd prime number. Using some previous work of the two authors, we determine the socle filtration of all irreducible smooth mod p representations of SL(2,Q_{p}).
Comment: 12 pages
Comment: 12 pages
Externí odkaz:
http://arxiv.org/abs/1204.2368
Autor:
Schmidt, Tobias
Let G be a connected split reductive group over a p-adic field. In the first part of the paper we prove, under certain assumptions on G and the prime p, a localization theorem of Beilinson-Bernstein type for admissible locally analytic representation
Externí odkaz:
http://arxiv.org/abs/1108.1539
Autor:
Schmidt, Tobias
Let G be a locally analytic group. We use deformation theory and Emerton's 'augmented' Iwasawa modules to study the possible liftings of a given absolutely irreducible smooth modular representation of G to a unitary Banach space representation. Final
Externí odkaz:
http://arxiv.org/abs/0912.4043