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) 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., to appear.
    journal  arXiv:2301.06053
  • (with Haoran Wang) On some mod p representations of quaternion algebra over Q_p.
    Compositio Math., to appear.
    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 (2020), 59-72.
    journal  pdf
  • Multiplicities of cohomological automorphic forms on GL2 and mod p representations of GL2(Qp).
    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(Qpf).
    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