Zobrazeno 1 - 10
of 65
pro vyhledávání: '"Gordan Savin"'
Autor:
Gordan Savin, Aaron Pollack
Publikováno v:
Journal of Number Theory. 238:611-675
We develop a theory of modular forms on the groups SO ( 3 , n + 1 ) , n ≥ 3 . This is very similar to, but simpler, than the notion of modular forms on quaternionic exceptional groups, which was initiated by Gross-Wallach and Gan-Gross-Savin. We pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7840961ccbb3be31c285287d90ad2b6b
https://doi.org/10.1016/j.jnt.2021.09.011
https://doi.org/10.1016/j.jnt.2021.09.011
Autor:
Petar Bakić, Gordan Savin
Publikováno v:
Canadian Journal of Mathematics. :1-26
Let G be a p-adic classical group. The representations in a given Bernstein component can be viewed as modules for the corresponding Hecke algebra—the endomorphism algebra of a pro-generator of the given component. Using Heiermann’s construction
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::53699f21a32a90924b0b8fd88632c8d2
https://doi.org/10.4153/s0008414x2200030x
https://doi.org/10.4153/s0008414x2200030x
Autor:
Wee Teck Gan, Gordan Savin
Publikováno v:
Pure and Applied Mathematics Quarterly. 18:1951-2130
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::20900b28a8b2e47dbdb3e957e03adc14
https://doi.org/10.4310/pamq.2022.v18.n5.a3
https://doi.org/10.4310/pamq.2022.v18.n5.a3
Autor:
Gordan Savin, Wee Teck Gan
Publikováno v:
Compositio Mathematica. 156:1231-1261
We show a Siegel–Weil formula in the setting of exceptional theta correspondence. Using this, together with a new Rankin–Selberg integral for the Spin L-function of $\text{PGSp}_{6}$ discovered by Pollack, we prove that a cuspidal representation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::924d4d60db6fee035521ec0ede4f4fb0
https://doi.org/10.1112/s0010437x20007186
https://doi.org/10.1112/s0010437x20007186
Autor:
Kei Yuen Chan, Gordan Savin
Publikováno v:
Proceedings of the American Mathematical Society. 148:1487-1497
Let $k_0$ be a $p$-adic field of odd residual characteristic, and $G$ a special orthogonal group defined as acting on a split $2n+1$-dimensional orthogonal space $V$ over $k_0$. Let $H$ be the Iwahori Hecke algebra of $G$. A purpose of this short art
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f4e64eb018fe40040f2a84a134dd03cd
https://doi.org/10.1090/proc/14903
https://doi.org/10.1090/proc/14903
Autor:
Kei Yuen Chan, Gordan Savin
Publikováno v:
Duke Mathematical Journal. 170
We prove a conjecture of Dipendra Prasad on Ext-branching from GLn+1(F) to GLn(F), where F is a p-adic field, and we give a projectivity criterion, resulting in some interesting consequences.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fa50429ef6175dae7bcbdd766213940d
https://doi.org/10.1215/00127094-2021-0028
https://doi.org/10.1215/00127094-2021-0028
Autor:
Kei Yuen Chan, Gordan Savin
Publikováno v:
International Mathematics Research Notices. 2019:731-760
Let $G$ be a general linear group over a $p$-adic field. It is well known that Bernstein components of the category of smooth representations of $G$ are described by Hecke algebras arising from Bushnell-Kutzko types. We describe the Bernstein compone
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fa3416d3cf2f79750197219f72e0eb45
https://doi.org/10.1093/imrn/rnx138
https://doi.org/10.1093/imrn/rnx138
Autor:
Gordan Savin, Kei Yuen Chan
Publikováno v:
Mathematische Zeitschrift. 288:125-133
Let G be a split reductive group over a p-adic field F. Let B be a Borel subgroup and U the maximal unipotent subgroup of B. Let \(\psi \) be a Whittaker character of U. Let I be an Iwahori subgroup of G. We describe the Iwahori–Hecke algebra actio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e0e26d7e60b0c1ceaf5313c1bf92ff14
https://doi.org/10.1007/s00209-017-1882-3
https://doi.org/10.1007/s00209-017-1882-3
Publikováno v:
Representation Theory of the American Mathematical Society. 20:419-450
We study wave-front sets of representations of reductive groups over global or non-archimedean local fields.
Comment: 39 pages
Comment: 39 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::39356040175e3d64d89ef7dc9425509e
https://doi.org/10.1090/ert/490
https://doi.org/10.1090/ert/490
Autor:
Marcela Hanzer, Gordan Savin
We describe poles and the corresponding residual automorphic representations of Eisenstein series attached to maximal parabolic subgroups whose unipotent radicals admit Jordan algebra structure.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3cdcc3c694e44ea532ebb1d602e3d7cf
