Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Tasho Kaletha"'
Publikováno v:
Forum of Mathematics, Pi, Vol 10 (2022)
Kottwitz’s conjecture describes the contribution of a supercuspidal representation to the cohomology of a local Shimura variety in terms of the local Langlands correspondence. A natural extension of this conjecture concerns Scholze’s more general
Externí odkaz:
https://doaj.org/article/ead3894401974109ac534ffc7553920b
Publikováno v:
Oberwolfach Reports. 18:2089-2156
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::811be5f7b2939e6ed56b290b0f55366d
https://doi.org/10.4171/owr/2021/39
https://doi.org/10.4171/owr/2021/39
Autor:
Tasho Kaletha, Gopal Prasad
Bruhat–Tits theory is an important topic in number theory, representation theory, harmonic analysis, and algebraic geometry. This book gives the first comprehensive treatment of this theory over discretely valued Henselian fields. It can serve both
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0f7ad4ec6a8e6953a116192de622f76c
https://doi.org/10.1017/9781108933049
https://doi.org/10.1017/9781108933049
Autor:
Tasho Kaletha
Publikováno v:
Journal of the American Mathematical Society. 32:1071-1170
We show that, in good residual characteristic, most supercuspidal representations of a tamely ramified reductive p-adic group G arise from pairs (S,\theta), where S is a tame elliptic maximal torus of G, and \theta is a character of S satisfying a si
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3ccc9ba43c159dd0b4f1ba248435cf80
https://doi.org/10.1090/jams/925
https://doi.org/10.1090/jams/925
Publikováno v:
Mathematische Zeitschrift. 294:1749-1757
Fixing a subgroup $\Gamma$ in a group $G$, the full commensurability growth function assigns to each $n$ the cardinality of the set of subgroups $\Delta$ of $G$ with $[\Gamma: \Gamma \cap \Delta][\Delta : \Gamma \cap \Delta] \leq n$. For pairs $\Gamm
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::24ffadd1910242c9a9ba1b8edc42b3a0
https://doi.org/10.1007/s00209-019-02334-5
https://doi.org/10.1007/s00209-019-02334-5
Autor:
Tasho Kaletha, Gopal Prasad
Bruhat–Tits theory is an important topic in number theory, representation theory, harmonic analysis, and algebraic geometry. This book gives the first comprehensive treatment of this theory over discretely valued Henselian fields. It can serve both
Autor:
Tasho Kaletha
Publikováno v:
Inventiones mathematicae. 202:1-89
We provide an explicit construction of the local Langlands correspondence for general tamely-ramified reductive p-adic groups and a class of wildly ramified Langlands parameters. Furthermore, we verify that our construction satisfies many expected pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bca2c2dee8a343b30dcee9c1c6fd6553
https://doi.org/10.1007/s00222-014-0566-4
https://doi.org/10.1007/s00222-014-0566-4
Autor:
Tasho Kaletha
Publikováno v:
Algebra Number Theory 7, no. 10 (2013), 2447-2474
We prove the recent conjectures of Adams-Vogan and D. Prasad on the behavior of the local Langlands correspondence with respect to taking the contragredient of a representation. The proof holds for tempered representations of quasi-split real K-group
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4da52b85b685236d3e18e567167d88e3
https://doi.org/10.2140/ant.2013.7.2447
https://doi.org/10.2140/ant.2013.7.2447
Autor:
Tasho Kaletha
Publikováno v:
Families of Automorphic Forms and the Trace Formula ISBN: 9783319414225
We present different statements of the local Langlands conjectures for non-quasi-split groups that currently exist in the literature and provide an overview of their historic development. Afterwards, we formulate the conjectural multiplicity formula
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4463d19a2175c91b16555c11db2a6007
https://doi.org/10.1007/978-3-319-41424-9_6
https://doi.org/10.1007/978-3-319-41424-9_6
Autor:
Tasho Kaletha
Publikováno v:
Journal of the Institute of Mathematics of Jussieu. 12:43-75
In a recent paper, Gross and Reeder study the arithmetic properties of discrete Langlands parameters for semi-simple$p$-adic groups, and they conjecture that a special class of these – the simple wild parameters – should correspond to$L$-packets
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::029f35514a3934590b64d769680f27b4
https://doi.org/10.1017/s1474748012000631
https://doi.org/10.1017/s1474748012000631