Zobrazeno 1 - 10 of 103 pro vyhledávání: '"Benedict H Gross"'
3
Minuscule embeddings
Autor: Benedict H. Gross, Skip Garibaldi
Publikováno v: Indagationes Mathematicae. 32:987-1004
We study embeddings $J \rightarrow G$ of simple linear algebraic groups with the following property: the simple components of the $J$ module Lie($G$)/Lie($J$) are all minuscule representations of $J$. One family of examples occurs when the group $G$
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::890fc22c37291c51ce584638f545164b
https://doi.org/10.1016/j.indag.2020.10.005
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4
Branching laws for classical groups: the non-tempered case
Autor: Benedict H. Gross, Dipendra Prasad, Wee Teck Gan
Publikováno v: Compositio Mathematica. 156:2298-2367
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: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a65018530d8963fcf40b85269ac987f4
https://doi.org/10.1112/s0010437x20007496
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5
On the periods of abelian varieties
Autor: Benedict H. Gross
Publikováno v: Notices of the International Congress of Chinese Mathematicians. 8:10-18
In this expository paper, we review the formula of Chowla and Selberg for the periods of elliptic curves with complex multiplication, and discuss two methods of proof. One uses Kronecker's limit formula and the other uses the geometry of a family of
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9b76b471d172e815c925a8bcfe12d902
https://doi.org/10.4310/iccm.2020.v8.n2.a2
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6
Incoherent Definite Spaces and Shimura Varieties
Autor: Benedict H. Gross
Publikováno v: Simons Symposia ISBN: 9783030685058
In this paper, we define incoherent definite quadratic spaces over totally real number fields and incoherent definite Hermitian spaces over CM fields. We use the neighbors of these spaces to study the local points of orthogonal and unitary Shimura va
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4350d458ddd762b1e04600dc1871c386
https://doi.org/10.1007/978-3-030-68506-5_5
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7
Simple supercuspidals and the Langlands correspondence
Autor: Benedict H. Gross
In this paper, we survey some mathematical developments that followed from the discovery of simple supercuspidal representations of p-adic groups.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::be50e3e180ac5f43704a5179bda12d85
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10
On the Langlands correspondence for symplectic motives
Autor: Benedict H. Gross
Publikováno v: Izvestiya: Mathematics. 80:678-692
In this paper, we present a refinement of the global Langlands correspondence for discrete symplectic motives of rank 2n over Q. To such a motive Langlands conjecturally associates a generic, automorphic representation of the split orthogonal group S
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b13df9e33de7d5cba9b9b8a6640d1287
https://doi.org/10.1070/im8431
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