Ruochuan Liu's Homepage

Ruochuan Liu
78304 Jing Chun Yuan
Beijing International Center for Mathematical Research
Peking University
Beijing, 100871
E-mail: liuruochuan[at]math[dot]pku[dot]edu[dot]cn

Research Interests:

My current research focuses on p-adic aspects of number theory
and arithmetic geometry, especially p-adic Hodge theory,
p-adic automorphic forms and p-adic Langlands program.


Basic number theory, Spring 2017
Linear algebra, Fall 2017
Commutative algebra, Spring 2018
Modular forms and number theory, Fall 2018
Topics in number theory, Spring 2019
Topics in number theory, Fall 2019


p-adic Hodge Theory and Automorphic Forms, BICMR, June 5-9, 2017


Peking Online International Number Theory Seminar: Points

Reading seminar on Shimura Varieties, BICMR, Spring 2020

Reading seminar on Galois representations and (φ,Γ)-modules, BICMR, Summer 2020


[18] Topological Cyclic Homology of Local Fields (with Guozhen Wang). arXiv:2012.15014.
[17] De Rham comparison and Poincare duality for rigid varieties (with Kai-Wen Lan and Xinwen Zhu). arXiv:1912.13030.
[16] Log adic spaces: some foundational results (with Hansheng Diao, Kai-Wen Lan, Xinwen Zhu). arXiv:1912.09836.
[15] Logarithmic Riemann-Hilbert correspondences for rigid varieties (with Hansheng Diao, Kai-Wen Lan, Xinwen Zhu). arXiv:1803.05786.
[14] Finiteness of cohomology of local systems on rigid analytic spaces (with Kiran S. Kedlaya). arXiv:1611.06930.
[13] Relative p-adic Hodge theory, II: Imperfect period rings (with Kiran S. Kedlaya). (21 Oct. 2019) arXiv:1602.06899.
[12] Rigidity and a Riemann-Hilbert correspondence for p-adic local systems (with Xinwen Zhu). Invent. Math. 207 (2017), no. 1, 291-343. arXiv:1602.06282.
[11] Artin Conjecture for p-adic Galois Representations of Function Fields (with Daqing Wan). Math. Res. Lett. 25 (2018), no. 1, 143-157. arXiv:1601.00267.
[10] The eigencurve over the boundary of weight space (with Daqing Wan and Liang Xiao). Duke Math. J. 166 (2017), no. 9, 1739-1787. arXiv:1412.2584.
[9] The Eigencurve is Proper (with Hansheng Diao). Duke Math. J. 165 (2016), no. 7, 1381-1395. arXiv:1401.4871.
[8] Semi-stable periods of finite slope families. Algebra Number Theory 9 (2015), no. 2, 435-458. arXiv:1301.3976.
[7] Triangulation of refined families. Comment. Math. Helv. 90 (2015), no. 4, 831-904. arXiv:1202.2188.
[6] Relative p-adic Hodge theory: Foundations (with Kiran S. Kedlaya). Asterisque No. 371 (2015), 239 pp. arXiv:1301.0792.
[5] Locally analytic vectors of unitary principal series of GL_2(Q_p) (with Bingyong Xie and Yuancao Zhang). Ann. Sci. Éc. Norm. Supér. (4) 45 (2012), no. 1, 167-190. arXiv:1103.2543.
[4] Locally analytic vectors of some crystabelian representations of GL_2(Q_p). Compos. Math. 148 (2012), no. 1, 28-64. arXiv:0910.0601.
[3] On families of (phi, Gamma)-modules (with Kiran S. Kedlaya). Algebra Number Theory 4 (2010), no. 7, 943-967. arXiv:0812.0112.
[2] Slope filtrations in families. J. Inst. Math. Jussieu 12 (2013), no. 2, 249-296. arXiv:0809.0331.
[1] Cohomology and duality for (phi, Gamma)-modules over the Robba ring. IMRN 2008, no. 3, Art. ID rnm150, 32 pp. arXiv:0711.4346.