Yupeng Wang's Homepage
Yupeng Wang(王宇鹏)
About me
I am now an assistant professor in Shanghai Center for Mathematical Science(SCMS, 上海数学中心)
at Fudan University(FDU, 复旦大学)
Email: (a) wangyupeng@fudan.edu.cn (b) 2306393435@pku.edu.cn (c) wangyupeng@amss.ac.cn
Office: Room 433, SCMS, FDU(Jiang Wan, 江湾), 2005 Songhu Road Shanghai, China.
Experience
2023.09-2025.09, Postdoc. Beijing International Center for Mathematical Research(BICMR),
Peking University(PKU).
Mentor: Prof. Ruochuan Liu(刘若川).
2020.09-2023.08, Postdoc. Morningside Center of Mathematics(MCM),
Academy of Mathematics and System Science(AMSS), Chinese Academy of Science(CAS).
Mentor: Prof. Yongquan Hu(胡永泉)
2015.09-2020.08, PhD of Mathematics School of Mathematical Science,
Peking University
Advisor: Prof. Ruochuan Liu(刘若川).
2011.09-2015.07, BS of Mathematics School of Mathematical Science, Peking University
Research
I am interested in
-adic Hodge theory and
-adic (and mod ) cohomological theory,
especially (integral) -adic Simpson correspondence and
-adic Riemann-Hilbert correspondence.
MathSciNet ORCID
Papers
- (With Yu Min(闵钰))
Integral -adic non-abelian Hodge theory for small representations.
Adv. Math. Volume 458, Part A, December 2024, 109950.
Journal arXiv:2304.07078
- (With Yu Min(闵钰))
-adic Simpson correspondence via prismatic crystals.
Accepted by J. Eur. Math. Soc.
Journal arXiv:2201.08030
- (With Yu Min(闵钰))
Relative -modules and prismatic -crystals.
Math. Z. Volume 310, Paper No. 16 (2025)
Journal arXiv:2110.06076
- A -adic Simpson correspondence for rigid analytic varieties.
Algebra Number Theory Vol. 17 (2023), No. 8, 1453–1499.
Journal arXiv:2101.00263
.
Preprints
- (With Hui Gao(高辉) and Yu Min(闵钰))
Prismatic crystals over the de Rham period sheaf. (2022). submitted.
arXiv:2206.10276
- (With Hui Gao(高辉) and Yu Min(闵钰))
Hodge--Tate prismatic crystals and Sen theory. (2023). submitted.
arXiv:2311.07024
- Prismatic crystals for smooth schemes in characteristic with Frobenius lifting mod . (2024). submitted.
arXiv:2402.02109
- (With Yudong Liu(刘宇东), Chenglong Ma(马成龙), Xiecheng Nie(聂勰成) and Xiaoyu Qu(瞿霄宇))
A stacky -adic Riemann-Hilbert correspondence on Hitchin-small locus. (2024)
arXiv:2409.08785
- (With Mao Sheng(盛茂))
The small -adic Simpson correspondence in the semi-stable reduction case. (2024).
arXiv:2410.09685
- (With Hui Gao(高辉) and Yu Min(闵钰))
Prismatic crystals and -adic Riemann-Hilbert correspondence. (2024).
arXiv:2411.18780
Other writings
- (With Yu Min(闵钰))
On the Hodge-Tate crystal over .
arXiv:2112.10140
There is a gap in the proof of Prop. 5.8. All results in this preprint are contained as a part of arXiv:2311.07024, except Section 5.
- (With Yu Min(闵钰))
Hodge--Tate crystals on the logarithmic prismatic sites of semi-stable formal schemes. (2022).
arXiv:2205.08895
All results in this paper are contained in arXiv:2411.18780