Yu YANG@RIMS, Kyoto University

Homepage of Yu YANG

Project Assistant Professor
Research Institute for Mathematical Sciences, Kyoto University
Kyoto 606-8502, Japan
e-mail: yuyang(at)kurims.kyoto-u.ac.jp


Papers/Preprints

  • Moduli spaces of fundamental groups of curves in positive characteristic II, in preparation.

  • Moduli spaces of fundamental groups of curves in positive characteristic I, in preparation.

  • Raynaud-Tamagawa theta divisors and new-ordinariness of ramified coverings of curves, [pdf]. Submitted.

  • Maximum generalized Hasse-Witt invariants and an anabelian formula for topological types of pointed stable curves in positive characteristic, [pdf], RIMS Preprint 1901. Submitted.

  • On the limit of p-averages of generic curves in positive characteristic, in preparation.

  • The combinatorial mono-anabelian geometry of curves over algebraically closed fields of positive characteristic II: reconstructions of semi-graphs of anabelioids via open continuous homomorphisms, in preparation.

  • The combinatorial mono-anabelian geometry of curves over algebraically closed fields of positive characteristic I: combinatorial Grothendieck conjecture, [pdf]. Submitted.

  • On the averages of generalized Hasse-Witt invariants of pointed stable curves in positive characteristic, [pdf].
    To appear in Math. Z. Online version

  • Finite quotients of fundamental groups and moduli spaces of curves in positive characteristic, [pdf], RIMS Preprint 1884. Submitted.

  • The anabelian geometry of curves over algebraically closed fields of postive characteristic, [pdf].
    To appear in RIMS Kokyuroku Bessatsu.

  • Group-theoretic characterizations of almost open immersions of curves, [pdf].
    J. Algebra 530 (2019), 290-325. Online version

  • Tame anabelian geometry and moduli spaces of curves over algebraically closed fields of characteristic p>0, [pdf], RIMS Preprint 1879. Submitted.

  • On the admissible fundamental groups of curves over algebraically closed fields of characteristic p>0, [pdf].
    Publ. Res. Inst. Math. Sci. 54 (2018), 649-678.

  • p-rank and semi-stable reduction of coverings of curves, [pdf], RIMS Preprint 1863. Submitted.

  • On the existence, geometry and p-ranks of vertical fibers of coverings of curves, [pdf].
    RIMS Kokyuroku Bessatsu B72 (2018), 187-193.

  • On the ordinariness of coverings of stable curves, [pdf].
    C. R. Math. Acad. Sci. Paris, Ser. I 356 (2018), 17-26. Online version.

  • On the existence of non-finite coverings of stable curves over complete discrete valuation rings, [pdf].
    Math. J. Okayama Univ. 61 (2019), 1-18.

  • Degeneration of period matrices of stable curves, [pdf].
    Kodai Math. J. 41 (2018), 125-153.

  • Arithmetic fundamental groups and geometry of curves over a discrete valuation ring, Master thesis, Kyoto University, 2013.

    Talks

  • TBA
    Invitation to inter-universal Teichmuller Theory (IUT), RIMS workshop, 2020.9.1-9.4.

  • TBA
    Combinatorial Anabelian Geometry and Related Topics, RIMS workshop, 2020.6.29-7.3.

  • TBA
    Foundations and Perspectives of Anabelian Geometry, RIMS workshop, 2020.5.18-5.22

  • On the topological and combinatorial structures of pointed stable curves in positive characteristic
    Fundamental groups: Geometry and Arithmetic, University of Science and Technology of China, Hefei, China. 2019.8.18-2019.8.22.

  • Tame anabelian geometry and moduli spaces of curves in positive characteristic
    Capital Normal University, Beijing, China. 2019.3.15.

  • Fundamental groups and moduli spaces of curves in positive characteristic
    Sichuan University, China. 2018.11.8.

  • The anabelian geometry of curves over algebraically closed fields of positive characteristic (after Tamagawa)
    Algebraic Number Theory and Related Topics 2017, RIMS, Kyoto university, Kyoto, Japan. 2017.12.4-2017.12.8.

  • Galois theory of curves: arithmetic and geometry
    Colloquium, Tokyo University of Science, Tokyo, Japan. 2017.11.28.

  • p-average theorem and anabelian geometry of curves over algebraically closed fields of characteristic p>0
    16th Hiroshima-Sendai Workshop on Number Theory, Hiroshima, Japan. 2017.7.11.-7.14.

  • Reconstructing pointed stable curves in positive characteristic from their geometric log fundamental groups
    Number Theory Seminar, Kyoto University, Japan. 2017.5.26.

  • Grothendieck anabelian conjecture for curves in positive charactersitic
    Seminar on Algebraic Geometry and Representation theory, Sichuan University, China. 2017.4.27.

  • Local p-rank and semi-stable reduction of curves
    10th Fukuoka Symposium on Number Theory, Fukuoka, Japan. 2016.8.8-2016.8.10.

  • Local p-ranks of coverings of curves
    15th Sendai-Hiroshima Workshop on Number Theory, Sendai, Japan. 2016.7.12-2016.7.15.

  • Local p-ranks of coverings of curves
    Number Theory Seminar, Kyoto University, Japan. 2016.6.24.

  • Fundamental groups, anabelian geometry, and coverings of curves
    Algebraic Seminar, Sichuan university, Chengdu, China. 2016.5.23-2016.6.8.

  • On the existence, geometry and p-ranks of vertical fibers of coverings of curves
    Algebraic Number Theory and Related Topics 2015, RIMS, Kyoto university, Kyoto, Japan. 2015.11.30-2015.12.4.

  • On the existence, geometry and p-ranks of vertical fibers of coverings of curves
    Algebraic Seminar, Sichuan university, Chengdu, China. 2015.8.10.

  • On the existence of vertical fibers of coverings of curves in positive characteristic
    14th Hiroshima-Sendai Workshop on Number Theory, Hiroshima, Japan. 2015.7.14-7.17.

  • Coverings of curves and the specialization of fundamental groups
    Algebra Seminar, Hiroshima University, Japan. 2015.3.6.

  • Fundamental Groups and Geometry of Coverings of Curves
    2015 East Asian Core Doctorial Forum on Mathematics, Taipei, Taiwan. 2015.1.19-1.22.

  • Geometry of coverings of curves
    Doctorial Forum of Mathematics Kyoto-Fudan Universities, Shanghai, China. 2014.11.2-2014.11.8.

  • Degeneration of period matrices of stable curves
    Kinosaki shinjin seminar 11th, Kinosaki, Japan. 2014.2.17-2014.2.21.

  • Degeneration of period matrices of stable curves
    Younger Generations in Algebraic and Complex Geometry, Nagasaki, Japan. 2014.1.6-2014.1.10.

  • Degeneration of period matrices of stable curves
    Number Theory Seminar, Kyoto University, Japan. 2013.11.29.

  • A log geometric analogue of the Weight Monodromy Conjecture for curves
    Seminar on Algebraic Geometry and Representation theory, Sichuan University, China. 2013.10.30.

  • A criterion of stable reduction
    Seminar on Algebraic Geometry and Representation theory, Sichuan University, China. 2013.10.28.

  • Arithmetic fundamental groups and geometry of curves over a DVR
    Seminar on Number Theory and Algebraic Geometry, Okayama Anabelful Days, Okayama University, Japan. 2013.5.22-5.23.

  • Arithmetic fundamental groups and geometry of curves over a DVR
    Mini-workshop on Number Theory/Arithmetic Geometry, RIMS, Kyoto University, Japan. 2013.1.31.

    授業

    同志社大学 令和元年後期 数学演習IV 一回目 二回目 三回目 四回目 五回目 六回目 七回目 八回目 九回目 十回目

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    摂南大学 令和元年前期 数学基礎I 模擬I 模擬I解答 模擬II 模擬II解答
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