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pro vyhledávání: '"Hazeltine, Alexander"'
In this paper, applying the intersection theory of local Arthur packets, for symplectic and split odd special orthogonal groups G_n, we give the first complete proof of the enhanced Shahidi conjecture on generic representations in local Arthur packet
Externí odkaz:
http://arxiv.org/abs/2404.05773
Autor:
Hazeltine, Alexander
The Adams conjecture states that the local theta correspondence sends a local Arthur packet to another local Arthur packet. M{\oe}glin confirmed the conjecture when lifting to groups of sufficiently high rank and also showed that it fails in low rank
Externí odkaz:
http://arxiv.org/abs/2403.17867
In this paper we study the upper bound of wavefront sets of irreducible admissible representations of connected reductive groups defined over non-Archimedean local fields of characteristic zero. We formulate a new conjecture on the upper bound and sh
Externí odkaz:
http://arxiv.org/abs/2403.11976
Autor:
Hazeltine, Alexander, Liu, Baiying
In this paper, we prove the local converse theorem for split even special orthogonal groups over a non-Archimedean local field of characteristic zero. This is the only case left on local converse theorems of split classical groups and the difficulty
Externí odkaz:
http://arxiv.org/abs/2301.13847
Autor:
Hazeltine, Alexander, Liu, Baiying
We prove a converse theorem for split even special orthogonal groups over finite fields. This is the only case left on converse theorems of split classical groups and the difficulty is the existence of the outer automorphism. In this paper, we develo
Externí odkaz:
http://arxiv.org/abs/2301.13092
In this paper, we prove the closure ordering conjecture on the local $L$-parameters of representations in local Arthur packets of $\mathrm{G}_n=\mathrm{Sp}_{2n}, \mathrm{SO}_{2n+1}$ over a non-Archimedean local field of characteristic zero. Precisely
Externí odkaz:
http://arxiv.org/abs/2209.03816
In this paper, for symplectic and split odd special orthogonal groups, we develop an account of theory on the intersection problem of local Arthur packets. Specifically, following Atobe's reformulation on M{\oe}glin's construction of local Arthur pac
Externí odkaz:
http://arxiv.org/abs/2201.10539
Autor:
Hazeltine, Alexander1 (AUTHOR), Liu, Bai Ying1 (AUTHOR) liu2053@purdue.edu
Publikováno v:
Acta Mathematica Sinica. Mar2024, Vol. 40 Issue 3, p731-771. 41p.
Akademický článek
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Autor:
Hazeltine, Alexander Lynn
In this thesis, for symplectic and split odd special orthogonal groups over a p-adic field, we provide an extensive account of the intersection of local Arthur packets. More specifically, following Atobe's reformulation of Moeglin's construction of l
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a59fbdfc009b205735e043adbac1fc80