刘若川 - 北京大学 - 北京国际数学研究中心

个人简介

Editorial Boards: Peking Mathematical Jouranl Acta Mathematica Sinica-English Series Nagoya Mathematical Journal Conferences: p-adic Hodge Theory and Automorphic Forms, BICMR, June 5-9, 2017 One-Day Workshop on Non-abelian p-adic Hodge Theory, BICMR, May 12, 2023

研究领域

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.

近期论文

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Slopes of modular forms and geometry of eigencurves (with Nha Xuan Truong, Liang Xiao, Bin Zhao). arXiv:2302.07697. A local analogue of the ghost conjecture of Bergdall-Pollack (with Nha Xuan Truong, Liang Xiao, Bin Zhao). Accepted by Peking Mathematical Journal. arXiv:2206.15372. Topological Cyclic Homology of Local Fields (with Guozhen Wang). Invent. Math. 230 (2022), no. 2, 851-932. arXiv:2012.15014. De Rham comparison and Poincare duality for rigid varieties (with Kai-Wen Lan and Xinwen Zhu). Peking Math. J. 6 (2023), no. 1, 143-216. arXiv:1912.13030. Log adic spaces: some foundational results (with Hansheng Diao, Kai-Wen Lan, Xinwen Zhu). p-adic Hodge Theory, Singular Varieties, and Non-Abelian Aspects, Simons Symposia, pp. 65–182, Springer, 2023. arXiv:1912.09836. Logarithmic Riemann-Hilbert correspondences for rigid varieties (with Hansheng Diao, Kai-Wen Lan, Xinwen Zhu). J. Amer. Math. Soc. 36 (2023), no. 2, 483-562. arXiv:1803.05786. Finiteness of cohomology of local systems on rigid analytic spaces (with Kiran S. Kedlaya). arXiv:1611.06930. Relative p-adic Hodge theory II: Imperfect period rings (with Kiran S. Kedlaya). arXiv:1602.06899 (Last updated: October 21, 2019). 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. 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. 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. The Eigencurve is Proper (with Hansheng Diao). Duke Math. J. 165 (2016), no. 7, 1381-1395. arXiv:1401.4871. Semi-stable periods of finite slope families. Algebra Number Theory 9 (2015), no. 2, 435-458. arXiv:1301.3976. Triangulation of refined families. Comment. Math. Helv. 90 (2015), no. 4, 831-904. arXiv:1202.2188. Relative p-adic Hodge theory: Foundations (with Kiran S. Kedlaya). Astérisque No. 371 (2015), 239 pp. arXiv:1301.0792. 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. Locally analytic vectors of some crystabelian representations of GL_2(Q_p). Compos. Math. 148 (2012), no. 1, 28-64. arXiv:0910.0601. On families of (phi, Gamma)-modules (with Kiran S. Kedlaya). Algebra Number Theory 4 (2010), no. 7, 943-967. arXiv:0812.0112. Slope filtrations in families. J. Inst. Math. Jussieu 12 (2013), no. 2, 249-296. arXiv:0809.0331. Cohomology and duality for (phi, Gamma)-modules over the Robba ring. Int. Math. Res. Not. IMRN 2008, no. 3, Art. ID rnm150, 32 pp. arXiv:0711.4346.