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pro vyhledávání: '"Prasad, Dipendra"'
Autor:
Prasad, Dipendra
In this mostly expository article, we consider certain homological aspects of branching laws for representations of a group restricted to its subgroups in the context of $p$-adic groups. We follow our earlier paper, ICM 2018 proceedings, updating it
Externí odkaz:
http://arxiv.org/abs/2302.03492
In an earlier work, we considered a family of restriction problems for classical groups (over local and global fields) and proposed precise answers to these problems using the local and global Langlands correspondence. These restriction problems were
Externí odkaz:
http://arxiv.org/abs/2204.10108
Autor:
Fratila, Dragos, Prasad, Dipendra
In this largely expository paper we extend properties of the homological duality functor $RHom_{\mathcal H}(-,{\mathcal H})$ where ${\mathcal H}$ is the Hecke algebra of a reductive $p$-adic group, to the case where it is the Hecke algebra of a finit
Externí odkaz:
http://arxiv.org/abs/2106.00437
Autor:
Prasad, Dipendra, Raghunathan, Ravi
In this paper we consider the question of when the set of Hecke eigenvalues of a cusp form on $GL_n(A_F)$ is contained in the set of Hecke eigenvalues of a cusp form on $GL_m(A_F)$ for $n \leq m$.This question is closely related to a question about f
Externí odkaz:
http://arxiv.org/abs/2007.14639
Autor:
Prasad, Dipendra, Wagh, Vinay
In this paper, using computations done through the LiE software, we compare the tensor product of irreducible selfdual representations of the special linear group with those of classical groups to formulate some conjectures relating the two. In the p
Externí odkaz:
http://arxiv.org/abs/2003.04556
Autor:
Prasad, Dipendra, Shekhar, Sudhanshu
Publikováno v:
Pacific J. Math. 312 (2021) 203-218
The paper formulates a precise relationship between the Tate-Shafarevich group of an elliptic curve $E$ over ${\mathbb Q}$ with a quotient of the classgroup of ${\mathbb Q}(E[p])$ on which $Gal({\mathbb Q}(E[p]/{\mathbb Q}) = GL_2({\mathbb Z}/p)$ ope
Externí odkaz:
http://arxiv.org/abs/1912.12928
We relate character theory of the symmetric groups $S_{2n}$ and $S_{2n+1}$ with that of the hyperoctahedral group $B_n = ({\mathbb Z}/2)^n \rtimes S_n$, as part of the expectation that the character theory of reductive groups with diagram automorphis
Externí odkaz:
http://arxiv.org/abs/1912.08576
Publikováno v:
Compositio Math. 156 (2020) 2298-2367
This paper generalizes the GGP conjectures which were earlier formulated for tempered or more generally generic L-packets to Arthur packets, especially for the nongeneric L-packets arising from Arthur parameters. The paper introduces the key notion o
Externí odkaz:
http://arxiv.org/abs/1911.02783
Autor:
Prasad, Dipendra
A general proposition is proved relating multiplicities (of restriction of a representation of a group to a subgroup) under basechange, and used to calculate some multiplicities for cuspidal representations which become principal series representatio
Externí odkaz:
http://arxiv.org/abs/1909.01850
Autor:
Nair, Arvind, Prasad, Dipendra
For a connected reductive group $G$ over ${\mathbb R}$, we study cohomological $A$-parameters, which are Arthur parameters with the infinitesimal character of a finite-dimensional representation of $G({\mathbb C})$. We prove a structure theorem for s
Externí odkaz:
http://arxiv.org/abs/1904.00694