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4 paper(s) uploaded by yongquanhu.

Index	Title	Upload Time	Modified Time
1	Multiplicity one for the mod $p$ cohomology of Shimura curves: the tame case Yongquan Hu Morningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences Haoran Wang Michigan State University Number Theory mathscidoc:1703.24007 [ Download ] [ 2017-03-11 16:01:35 uploaded by yongquanhu ] [ 1344 downloads ] [ 0 comments ] Abstract × No abstract uploaded! OK [ Abstract ] [ Full ] Please log in for comment!	2017-03-11 16:01:35	-
2	An application of a theorem of Emerton to mod p representations of GL_2 Yongquan Hu Morningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences Number Theory mathscidoc:1703.24008 [ Download ] [ 2017-03-11 16:06:07 uploaded by yongquanhu ] [ 1068 downloads ] [ 0 comments ] Abstract × Let p be a prime and L be a finite extension of ℚp. We study the ordinary parts of GL2(L)-representations arised in the mod p cohomology of Shimura curves attached to indefinite division algebras which splits at a finite place above p. The main tool of the proof is a theorem of Emerton \cite{Em3}. OK [ Abstract ] [ Full ] Please log in for comment!	2017-03-11 16:06:07	-
3	The Breuil-Mézard conjecture for non-scalar split residual representations Yongquan Hu University of Rennes 1 Fucheng Tan Michigan State University Number Theory mathscidoc:1703.24009 Distinguished Paper Award in 2017 Ann. Scient. de l'E.N.S, 48, 1381-1419, 2015 [ Download ] [ 2017-03-11 16:10:05 uploaded by yongquanhu ] [ 1451 downloads ] [ 0 comments ] Abstract × No abstract uploaded! OK [ Abstract ] [ Full ] Please log in for comment!	2017-03-11 16:10:05	2017-03-11 16:11:42
4	Multiplicities of cohomological automorphic forms on $\mathrm{GL}_2$ and mod $p$ representations of $\mathrm{GL}_2(\mathbb{Q}_p)$ Yongquan Hu Morningside Center of Mathematics, Academy of Mathematics and Systems Science, University of the Chinese Academy of Sciences Number Theory mathscidoc:1802.24001 [ Download ] [ 2018-02-08 11:08:40 uploaded by yongquanhu ] [ 853 downloads ] [ 0 comments ] Abstract × We prove a new upper bound for the dimension of the space of cohomological automorphic forms of fixed level and growing parallel weight on $\mathrm{GL}_2$ over a number field which is not totally real, improving the one obtained by Marshall. The main tool of the proof is the mod $p$ representation theory of $\mathrm{GL}_2(\mathbb{Q}_p)$ as started by Barthel-Livne and Breuil, and developed by Paskunas. OK [ Abstract ] [ Full ] Please log in for comment!	2018-02-08 11:08:40	-

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