Zobrazeno 1 - 10
of 152
pro vyhledávání: '"Local Langlands conjectures"'
Autor:
Igor Nikolaev
Publikováno v:
Operator Theory, Functional Analysis and Applications ISBN: 9783030519445
We introduce a C∗-algebra \({\mathcal A}_V\) of a variety V over the number field K and a C∗-algebra \({\mathcal A}_G\) of a reductive group G over the ring of adeles of K. Using Pimsner’s Theorem, we construct an embedding \({\mathcal A}_V\hoo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::290bdf0e4d7257c0fcc0d0694cf8ecc5
https://doi.org/10.1007/978-3-030-51945-2_26
https://doi.org/10.1007/978-3-030-51945-2_26
Autor:
Masaki Kashiwara, Se-jin Oh
Publikováno v:
Journal of Algebraic Combinatorics. 49:401-435
We prove that the Grothendieck rings of category $$\mathcal {C}^{(t)}_Q$$ over quantum affine algebras $$U_q'(\mathfrak {g}^{(t)})$$ $$(t=1,2)$$ associated with each Dynkin quiver Q of finite type $$A_{2n-1}$$ (resp. $$D_{n+1}$$ ) are isomorphic to o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::713d886bde098529ee6511a22d8576d6
https://doi.org/10.1007/s10801-018-0829-z
https://doi.org/10.1007/s10801-018-0829-z
Autor:
Peng-Jie Wong
Publikováno v:
International Journal of Number Theory. 14:881-898
In this note, we study conjectures of Artin and Langlands and derive the automorphy of all solvable groups of order at most 200, three groups excepted.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ad2500c9f1d7ada5586e5888297feea6
https://doi.org/10.1142/s1793042118500537
https://doi.org/10.1142/s1793042118500537
Autor:
Matej Penciak, Martin T. Luu
Publikováno v:
Communications in Mathematical Physics. 357:775-789
Motivated by quantum field theoretic partition functions that can be expressed as products of tau functions of the KP hierarchy we attach several types of local geometric Langlands parameters to quivers in the Sato Grassmannian. We study related ques
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ede43a13a2c16d4d985a397a441f6567
https://doi.org/10.1007/s00220-017-3040-5
https://doi.org/10.1007/s00220-017-3040-5
Autor:
Wee Teck Gan, Hiraku Atobe
Publikováno v:
Representation Theory of the American Mathematical Society. 21:354-415
In this paper, we highlight and state precisely the local Langlands correspondence for quasi-split O 2 n \mathrm {O}_{2n} established by Arthur. We give two applications: Prasad’s conjecture and Gross–Prasad conjecture for O n \mathrm {O}_n . Als
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f74abfbbab98492bb2e3e59d087e2d3d
https://doi.org/10.1090/ert/504
https://doi.org/10.1090/ert/504
Autor:
Peng-Jie Wong
Publikováno v:
Journal of Number Theory. 178:126-145
In this note, we study Artin's conjecture via group theory and derive Langlands reciprocity for certain solvable Galois extensions of number fields, which extends the previous work of Arthur and Clozel. In particular, we show that all nearly nilpoten
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5f44ba8adc4e2c863384d330456488f1
https://doi.org/10.1016/j.jnt.2017.02.003
https://doi.org/10.1016/j.jnt.2017.02.003
Autor:
Alexander Goncharov, Michael Finkelberg, Dennis Gaitsgory, Alexander Braverman, Yakov Varshavsky, Roman Bezrukavnikov
Publikováno v:
Advances in Mathematics. 327:1-3
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f027f1c037527aa1dd670930251cf4b4
https://doi.org/10.1016/j.aim.2017.08.017
https://doi.org/10.1016/j.aim.2017.08.017
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
https://doi.org/10.1070/im8431
Publikováno v:
Oberwolfach Reports. 13:1027-1098
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5a7b10c653986dfdf067da31402bc358
https://doi.org/10.4171/owr/2016/20
https://doi.org/10.4171/owr/2016/20
Autor:
Benedict H Gross, Бенедикт H Гросс
Publikováno v:
Известия Российской академии наук. Серия математическая. 80:49-64
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6ae0401e24b470220d2fdcb6af732257
https://doi.org/10.4213/im8431
https://doi.org/10.4213/im8431