P-adic Langlands program
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
Research Interest: P-adic Langlands program, including p-adic and mod p local-global compatibility, and the theory of (higher) L-invariants.
Education
1. B.S. University of Science and Technology of China, 2010-2014
2. M.S. Sorbonne Université (Jussieu), France, 2013-2015
3. Diplôme de l'ENS, Mathematics, Ecole Normale Supérieure de Paris (Rue d'Ulm), Sélection Internationale, France, 2013-2016
4. Ph.D. Université Paris Saclay (Orsay), France, 2016-2019, Thesis Advisor: Christophe Breuil
Employment
1. Postdoc, University of Toronto, Canada, August 2019-May 2022
2. Associate Professor, Academy of Mathematics and Systems Science, CAS, June 2022-present
Papers and preprints
1. On mod p local-global compatibility for GLn(Qp) in the ordinary case (with Chol Park), Mémoires de la S.M.F., Vol 173.
2. Dilogarithm and Higher L-invariants forGL3(Qp), Represent. Theory 25 (2021), 344-411.
3. Moduli of Fontaine-Laffaille modules and a mod p local-global compatibility result, (with Daniel Le, Bao Viet Le Hung, Stefano Morra and Chol Park), Memoires of the A.M.S. (to appear), 169 pages.
4. A note on mod-p local-global compatibility via Scholze's functor, (with Kegang Liu), 8 pages.
5. Colength one deformation rings, (with Daniel Le, Bao Viet Le Hung, Stefano Morra and Chol Park), Transactions of the A.M.S. (to appear), 34 pages.
6. Splitting and expliciting the De Rham complex of the Drinfeld space, (with Christophe Breuil)，281 pages.
7. On Ext^bullet between locally analytic generalized Steinberg with applications, preprint, arXiv:2512.24279, 318 pages.
We study two canonical filtrations (partial-Coxeter vers cup product) on Ext_G^{n-1}(1, St_G^{an}) and the transversality between them, with application to certain generalization of higher L invariants to G=PGL_n(K).
研究方向
Galois表示模空间和p进制Hodge理论、p进制约化群的p进制和模p表示论、GL(n)的高阶L不变量理论
教育经历
2010-2014: 中国科学技术大学，少年班，华罗庚班
2013-2016: 巴黎高等师范学院，师范生
2013-2015: 巴黎第六大学（现索邦大学），硕士
2016-2019: 巴黎萨克雷大学，博士
导师：Christophe Breuil
工作经历
2019-2022: 多伦多大学，博士后
2022-至今：中国科学院数学与系统科学研究院，副研究员
发表文章
On Ext between locally analytic generalized Steinberg with applications, 318 pages, arXiv:2512.24279
Splitting and making explicit the De Rham complex of the Drinfeld space, (with Christophe Breuil), Lecture Notes in Mathematics, Vol 2397, VII+249 pages.
Colength one deformation rings, (with Daniel. Le, Bao Viet Le Hung, Stefano Morra and Chol Park), Trans. Amer.Math.Soc. 377 (2024), 5705-5748.
A note on mod-p local-global compatibility via Scholze’s functor, (with Kegang Liu), Journal of Number Theory, Vol 283 (2026), 230-240.
Moduli of Fontaine-Laffaille modules and a mod p local-global compatibility
