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 : last name AT math dot ac dot cn

My research interests include Arithmetic Geometry, Langlands Program, and p-adic Hodge Theory. Currently, I am working on various aspects of Shimura Varieties, Rapoport-Zink Spaces, Automorphic Forms, and so on.

CV

Papers and preprints 

1. Bruhat-Tits buildings and p-adic period domains (with Ruishen Zhao)
2. De Rham F-gauges and Shimura varieties
3. F-zips with additional structure on splitting models of Shimura varieties (with Yuqiang Zheng)
4. EKOR strata for Shimura varieties with parahoric level structure (with Chia-Fu Yu and Chao Zhang), Duke Math. J. 2021, vol. 170, no. 14, 3111-3236. DOI: 10.1215/00127094-2021-0047. Errata.
5. Harder-Narasimhan strata and p-adic period domains, Transactions of the American Mathematical Society 2023, vol. 376, no. 5, 3319–3376. DOI: https://doi.org/10.1090/tran/8859
6. On the structure of some p-adic period domains (with Miaofen Chen and Laurent Fargues), Cambridge Journal of Mathematics 2021, vol. 9, no.1, 213–267. DOI: https://dx.doi.org/10.4310/CJM.2021.v9.n1.a4
7. Stratifications in good reductions of Shimura varieties of abelian type (with Chao Zhang), Asian J. Math. 2022, vol. 26, no. 2, 167-226. DOI: https://dx.doi.org/10.4310/AJM.2022.v26.n2.a2
8. On some generalized Rapoport-Zink spaces, Canad. J. Math. 2020, vol. 72, issue 5, 1111-1187. doi:10.4153/S0008414X19000269
9. Perfectoid Shimura varieties of abelian type, Int. Math. Res. Notices 2017, no. 21, 6599-6653. doi:10.1093/imrn/rnw202 
10. On the cohomology of some simple Shimura varieties with bad reduction, J. Inst. Math. Jussieu 2019, vol. 18, issue 1, 1-24.  doi:10.1017/S1474748016000372
11. On the l-adic cohomology of some p-adically uniformized Shimura varieties, J. Inst. Math. Jussieu 2018, vol. 17, issue 5, 1197-1226. doi:10.1017/S1474748016000360
12. p-adic families of automorphic forms over some unitary Shimura varieties, Math. Res. Lett. 23 (2016), no. 5, 1469 -1506. doi:10.4310/MRL.2016.v23.n5.a11
13. On the Lefschetz trace formula for Lubin-Tate spaces, Adv. Geom. 2016, vol. 16, issue 1, 33-43. doi: 10.1515/advgeom-2015-0030
14. Cell decomposition of some unitary group Rapoport-Zink spaces, Math. Ann. 2014, vol. 360, issue 3-4, 825-899. doi: 10.1007/s00208-014-1048-0
15. On the Hodge-Newton filtration for p-divisible groups with additional structures, Int. Math. Res. Notices 2014, no. 13, 3582-3631. doi: 10.1093/imrn/rnt03  

 

Teaching

Spring/Summer Semester 2022, Tuesday & Thursday 13:30-15:10, Room 204, Yuquanlu Campus, UCAS

Algebra II

Spring/Summer Semester 2021, Tuesday & Thursday 13:30-15:10, Room 204, Yuquanlu Campus, UCAS

Algebra II

Fall/Winter Semester 2020, Monday 13:30-15:10 & Wednesday 13:30-16:10, MCM110, UCAS

Algebraic Number Theory

Spring/Summer Semester 2020, Tuesday & Thursday 13:30-15:10, online, UCAS

Algebra III

Spring/Summer Semester 2019, Monday & Wednesday 13:30-15:10, Room 204, Yuquanlu Campus, UCAS (with Weizhe Zheng)

Algebra III

Spring/Summer Semester 2016, Wednesday 13:30-15:10, N308, Zhongguancun Campus, UCAS

Introduction to Shimura varieties

Fall/Winter Semester 2015/16, Thursday 14:00-16:00, Quan 29, BICMR / N818, AMSS

The Local Langlands Correspondence for GLn over p-adic fields

 

Activities

Winter School on Shimura Varieties and Related Topics, November 29-December 3, 2019 (with Ke Chen, Miaofen Chen, Chia-Fu Yu)

Cross Strait Workshop on Arithmetic Geometry,  March 5-8, 2019 (with Jiangwei Xue, Chia-Fu Yu)

Summer School on Shimura Varieties and Related Topics, September 11-22, 2017 (with Chia-Fu Yu)

Workshop on p-adic Langlands, August 7-15, 2017 (with Yongquan Hu, Yichao Tian)

Workshop on the p-adic local Langlands correspondence, July 13-20, 2016 (with Yongquan Hu)

 

Documents

Perfectoid Shimura varieties of abelian type, Oberwolfach Reports, vol. 12, issue 3, 2015, Workshop Reductions of Shimura Varieties

Cell decomposition of some unitary group Rapoport-Zink spaces, Oberwolfach Reports, vol. 9, issue 3, 2012, Workshop Reductions of Shimura Varieties

My PhD thesis

 

Links

Arithmétique et Géométrie Algébrique, Département de Mathématiques d'Orsay

Equipe-Projet: Formes Automorphes, Institut de Mathématiques de Jussieu-PRG

The Arbeitsgruppe Arithmetische Algebraische Geometrie in Bonn

Equipe d'Arithmétique  et  Géométrie Algébrique, Laboratoire Analyse, Géométrie et Applications, Paris-Nord

Fakultaet für Mathematik, Universitaet Regensburg

Kai-Wen Lan's Math Links