A vanishing Ext-branching theorem for (GL n+ 1 (F), GL n (F))
KY Chan, G Savin - Duke Mathematical Journal, 2021 - projecteuclid.org
A vanishing Ext-branching theorem for (GLn+1(F), GLn(F)) Page 1 A VANISHING EXT-BRANCHING
THEOREM FOR .GLnC1.F /;GLn.F // KEI YUEN CHAN and GORDAN SAVIN Abstract We …
THEOREM FOR .GLnC1.F /;GLn.F // KEI YUEN CHAN and GORDAN SAVIN Abstract We …
Ext-multiplicity theorem for standard representations of
KY Chan - Mathematische Zeitschrift, 2023 - Springer
Let π 1 be a standard representation of GL n+ 1 (F) and let π 2 be the smooth dual of a
standard representation of GL n (F). When F is non-Archimedean, we prove that Ext GL n (F) …
standard representation of GL n (F). When F is non-Archimedean, we prove that Ext GL n (F) …
On the derived category of the Iwahori–Hecke algebra
E Hellmann - Compositio Mathematica, 2023 - cambridge.org
We state a conjecture that relates the derived category of smooth representations of a by
showing that the functor should be given by the derived tensor product with the family of …
showing that the functor should be given by the derived tensor product with the family of …
Restriction for general linear groups: the local non-tempered Gan–Gross–Prasad conjecture (non-Archimedean case)
KY Chan - Journal für die reine und angewandte Mathematik …, 2022 - degruyter.com
We prove a local Gan–Gross–Prasad conjecture on predicting the branching law for the non-
tempered representations of general linear groups in the case of non-Archimedean fields …
tempered representations of general linear groups in the case of non-Archimedean fields …
Beijing notes on the categorical local Langlands conjecture
D Hansen - arXiv preprint arXiv:2310.04533, 2023 - arxiv.org
We formulate some refinements and complements to the categorical local Langlands
conjecture of Fargues-Scholze. In particular, we state the expected compatibilities with …
conjecture of Fargues-Scholze. In particular, we state the expected compatibilities with …
The Gelfand–Graev representation of classical groups in terms of Hecke algebras
P Bakić, G Savin - Canadian Journal of Mathematics, 2023 - cambridge.org
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 …
be viewed as modules for the corresponding Hecke algebra—the endomorphism algebra of …
Local Langlands in families: The banal case
JF Dat, D Helm, R Kurinczuk, G Moss - arXiv preprint arXiv:2406.09283, 2024 - arxiv.org
We state a conjecture, local Langlands in families, connecting the centre of the category of
smooth representations on $\mathbb {Z}[\sqrt {q}^{-1}] $-modules of a quasi-split $ p $-adic …
smooth representations on $\mathbb {Z}[\sqrt {q}^{-1}] $-modules of a quasi-split $ p $-adic …
Construction of simple quotients of Bernstein-Zelevinsky derivatives and highest derivative multisegments
KY Chan - arXiv preprint arXiv:2111.13286, 2021 - arxiv.org
Let $ F $ be a non-Archimedean field. A sequence of derivatives of generalized Steinberg
representations can be used to construct simple quotients of Bernstein-Zelevinsky …
representations can be used to construct simple quotients of Bernstein-Zelevinsky …
Homological aspects of branching laws
D Prasad - arXiv preprint arXiv:2302.03492, 2023 - arxiv.org
In this mostly expository article, we consider certain homological aspects of branching laws
for representations of a group restricted to its subgroups in the context of $ p $-adic groups …
for representations of a group restricted to its subgroups in the context of $ p $-adic groups …
Graded Specht modules as Bernstein–Zelevinsky derivatives of the RSK model
M Gurevich - International Mathematics Research Notices, 2023 - academic.oup.com
We clarify the links between the graded Specht construction of modules over cyclotomic
Hecke algebras and the Robinson-Schensted-Knuth (RSK) construction for quiver Hecke …
Hecke algebras and the Robinson-Schensted-Knuth (RSK) construction for quiver Hecke …