A family of Calabi–Yau varieties and potential automorphy II
T Barnet-Lamb, D Geraghty, M Harris… - Publications of the …, 2011 - ems.press
We prove new potential modularity theorems for n-dimensional essentially self-dual l-adic
representations of the absolute Galois group of a totally real eld. Most notably, in the …
representations of the absolute Galois group of a totally real eld. Most notably, in the …
Potential automorphy and change of weight
T Barnet-Lamb, T Gee, D Geraghty, R Taylor - Annals of Mathematics, 2014 - JSTOR
We prove an automorphy lifting theorem for l-adic representations where we impose a new
condition at l, which we call" potentential diagonalizability." This result allows for" change of …
condition at l, which we call" potentential diagonalizability." This result allows for" change of …
Explicit Gross–Zagier and Waldspurger formulae
L Cai, J Shu, Y Tian - Algebra & Number Theory, 2014 - msp.org
Explicit Gross–Zagier and Waldspurger formulae Page 1 Algebra & Number Theory msp
Volume 8 2014 No. 10 Explicit Gross–Zagier and Waldspurger formulae Li Cai, Jie Shu and …
Volume 8 2014 No. 10 Explicit Gross–Zagier and Waldspurger formulae Li Cai, Jie Shu and …
Equivalent definitions of Arthur packets for real classical groups
J Adams, NA Robert, P Mezo - arXiv preprint arXiv:2108.05788, 2021 - arxiv.org
Arthur has conjectured the existence of what are now known as Arthur packets of
representations of reductive algebraic groups over local and global fields. In the case of …
representations of reductive algebraic groups over local and global fields. In the case of …
Unitary dual of GL (n) at archimedean places and global Jacquet–Langlands correspondence
AI Badulescu, D Renard - Compositio Mathematica, 2010 - cambridge.org
In a paper by Badulescu [Global Jacquet–Langlands correspondence, multiplicity one and
classification of automorphic representations, Invent. Math. 172 (2008), 383–438], results on …
classification of automorphic representations, Invent. Math. 172 (2008), 383–438], results on …
Hodge theory and unitary representations of reductive Lie groups
W Schmid, K Vilonen - arXiv preprint arXiv:1206.5547, 2012 - arxiv.org
arXiv:1206.5547v1 [math.RT] 24 Jun 2012 Page 1 arXiv:1206.5547v1 [math.RT] 24 Jun
2012 AMS/IP Studies in Advanced Mathematics Hodge theory and unitary representations …
2012 AMS/IP Studies in Advanced Mathematics Hodge theory and unitary representations …
Potential automorphy and change of weight
T Barnet-Lamb, T Gee, D Geraghty, R Taylor - arXiv preprint arXiv …, 2010 - arxiv.org
We prove a new automorphy lifting theorem for l-adic representations where we impose a
new condition at l, which we callpotential diagonalizability'. This result allows forchange of …
new condition at l, which we callpotential diagonalizability'. This result allows forchange of …
L-packets of quasisplit GSp(2n) and GO(2n)
B Xu - Mathematische Annalen, 2018 - Springer
Abstract In his monograph Arthur (The endoscopic classification of representations:
orthogonal and symplectic groups, Colloquium Publications, American Mathematical …
orthogonal and symplectic groups, Colloquium Publications, American Mathematical …
[图书][B] Unitarizability in Corank Three for Classical 𝑝-adic Groups
M Tadić - 2023 - ams.org
Let $ G $ be the $ F $-points of a classical group defined over a $ p $-adic field $ F $ of
characteristic $0 $. We classify the irreducible unitarizable representation of $ G $ that are …
characteristic $0 $. We classify the irreducible unitarizable representation of $ G $ that are …
Paquets d'Arthur des groupes classiques et unitaires
N Arancibia, C Moeglin, D Renard - arXiv preprint arXiv:1507.01432, 2015 - arxiv.org
Soit G= G (R) le groupe des points réels d'un groupe algébrique connexe réductif quasi-
déployé défini sur R. Supposons de plus que G soit un groupe classique (symplectique …
déployé défini sur R. Supposons de plus que G soit un groupe classique (symplectique …