胡永泉----数学院晨兴数学中心

Homepage of Yongquan Hu (胡永泉)

Morningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences

Address: Morningside Center of Mathematics, No. 55, Zhongguancun East Road, Beijing, 100190, China

Email : yhu@amss.ac.cn

Office: South Building (南楼) 925

Research interest: p-adic and mod p Langlands program

Preprints

(with C. Breuil, F. Herzig, S. Morra, B. Schraen) Finite length for unramified GL_2, preprint 2025.
arXiv:2501.03644
(with C. Breuil, F. Herzig, S. Morra, B. Schraen) Multivariable (phi, O_K^\times)-modules and local-global compatibility, preprint 2022.
arXiv:2211.00438
(with Y. Ding, H. Wang) Cohen-Macaulayness and duality of some p-adic representations, preprint 2024.
Appendix to "Towards the wall-crossing of locally Q_p-analytic representations of GL_n(K) for a p-adic field K" by Yiwen Ding.
arXiv:2404.06315

Papers

(with Haoran Wang）On some p-adic and mod p representations of quaternion algebra over Q_p.
J. Reine Angew. Math., 812 (2024), 163-210.
journal arXiv:2301.06053
(with Haoran Wang) On some mod p representations of quaternion algebra over Q_p.
Compositio Math., 160 (2024), 2585-2655.
journal arXiv:2201.01464
(with C. Breuil, F. Herzig, S. Morra, B. Schraen) Conjectures and results on modular representations of GLn for a p-adic field K.
Memoirs of Amer. Math. Soc., to appear.
arXiv:2102.06188
(with C. Breuil, F. Herzig, S. Morra, B. Schraen) Gelfand-Kirillov dimension and mod p cohomology for GL₂.

Inventiones Math. 234 (2023), 1-128.
journal arXiv:2009.03127
(with Haoran Wang) On the mod p cohomology for GL₂: the non-semisimple case.

Cambridge J. of Math. 10 (2022), 261-431.
journal arXiv:2009.09640
A note on integral structures in some locally algebraic representations of GL₂.

Acta Math. Sinica 37 (2021), 59-72.
journal pdf
Multiplicities of cohomological automorphic forms on GL₂ and mod p representations of GL₂(Q_p).

J. Eur. Math. Soc. 23 (2021), 3625-3678.
journal arXiv:1801.10074
(with Vytautas Paskunas) On crystabelline deformation rings of Gal(\bar{Q_p}/Q_p) (with an appendix by Jack Shotton).
Math. Ann., 373 (2019), 421-487.
journal arXiv:1702.06019
An application of a theorem of Emerton to mod p representations of GL₂.

Journal of the LMS. (2) 96 (2017), 545-564.
journal arXiv:1602.08827
(with Haoran Wang) Multiplicity one for the mod p cohomology of Shimura curves: the tame case.
Math. Res. Lett. 25 (2018), Number 3, 843-873.
journal arXiv:1608.07992
Valeurs spéciales de paramètres dans diagrammes de Diamond.
Bull. Soc. Math. France 144, fascicule 1 (2016), 77-115.
journal
(with Fucheng Tan) The Breuil-Mézard conjecture for non-scalar split residual representations.
Ann. Scient. de l'E.N.S. 4e série, tome 48 (2015), 1381-1419.
journal arXiv:1309.1658
(with S. Morra, B. Schraen) Sur la fidélité de certaines représentations de GL₂(F) sous une algèbre d'Iwasawa.
Rend. Sem. Mat. Univ. Padova 131 (2014), 49-65.
journal arXiv:1105.5786
Diagrammes canoniques et représentations modulo p de GL₂(F).
J. Inst. Math. Jussieu 11 (2012), 67-118.
journal arXiv:0904.3991
Sur quelques représentations supersingulières de GL₂(Q_p^f).
J. Algebra 324 (2010), 1577-1615.
journal arXiv:0909.0527
Normes invariantes et existence de filtrations admissibles.
J. Reine Angew. Math. 634 (2009), 107-141.
journal arXiv:0709.3122

Documents

PhD thesis: "Autour du programme de Langlands p-adique et modulo p", defended on Oct. 1st, 2009.
Advisor: Prof. Christophe Breuil, University Paris-Sud.
Memoire M2: "Modular representations of GL₂(F), when F is a local field", 2006.

Activities organized

Workshop on the patched eigenvarieties, July 26-31, 2015 (with Yichao Tian)
Workshop on the p-adic local Langlands correspondence, July 13-20, 2016 (with Xu Shen)
Workshop on p-adic Langlands, August 7-15, 2017 (with Xu Shen, Yichao Tian)