• Progress in Complex Geometry

    B109 IBS, Korea, Republic of
    Conferences and Workshops

    The goal of the workshop is to INTRODUCE some of the most interesting recent developments in complex geometry to (young) people working in areas related to complex geometry. For this purpose, the speakers will try to make the talks understandable to broad audience. Invited Speakers 2-hours lectures Bin Guo (Rutgers U.) Shigeharu Takayama (U. Tokyo)

  • Ilya Kossovskiy, Divergence in CR Geometry

    B236-1 IBS, Korea, Republic of
    Several Complex Variables Seminar

        Speaker Ilya Kossovskiy SUSTech In this lecture, I will outline convergence and divergence phenomena for mappings of CR submanifolds in complex space. Possible applications for mappings of more general geometric structures will be also concerned.

  • Meng Chen, The Noether inequality for algebraic threefolds

    B236-1 IBS, Korea, Republic of
    Algebraic Geometry Seminar

        Speaker Meng Chen Fudan University In this talk, I will present a complete proof for the following theorem: the inequality K3 ≥ 4/3 pg-10/3 holds for all 3-folds of general type.

  • JongHae Keum, Fake quadric surfaces

    B236-1 IBS, Korea, Republic of
    Algebraic Geometry Seminar

        Speaker JongHae Keum KIAS A smooth projective complex surface S is called a Q-homology quadric if it has the same Betti numbers as the smooth quadric surface. Let S be a Q-homology quadric. Then its cohomology lattice is of rank 2, (even or odd) unimodular. By the classification of surfaces, S is either

  • Gian Pietro Pirola, Asymptotic directions on the moduli space of curves

    B236-1 IBS, Korea, Republic of
    Algebraic Geometry Seminar

        Speaker Gian Pietro Pirola University of Pavia We present some computational improvements that allow us to study asymptotic lines in the tangent of the moduli space Mg of the curves of genus g. The asymptotic directions are those tangent directions that are annihilated by the second fundamental form induced by the Torelli map.

  • Benjamin McMillan, Secondary Characteristic classes and Chern-Weil theory of (Haefliger) singular foliations I

    B236-1 IBS, Korea, Republic of
    Complex Geometry Seminar

        Speaker Benjamin McMillan IBS CCG Foliations have a theory of characteristic classes that is much like that of vector bundles, but with notable differences. Some of the characteristic classes of a foliation come from its induced normal bundle, but there are additional secondary classes that depend on more detailed information about the foliation.

  • Benjamin McMillan, Secondary Characteristic classes and Chern-Weil theory of (Haefliger) singular foliations II

    B236-1 IBS, Korea, Republic of
    Complex Geometry Seminar

        Speaker Benjamin McMillan IBS CCG Foliations have a theory of characteristic classes that is much like that of vector bundles, but with notable differences. Some of the characteristic classes of a foliation come from its induced normal bundle, but there are additional secondary classes that depend on more detailed information about the foliation.

  • Benjamin McMillan, Secondary Characteristic classes and Chern-Weil theory of (Haefliger) singular foliations III

    B236-1 IBS, Korea, Republic of
    Complex Geometry Seminar

        Speaker Benjamin McMillan IBS CCG Foliations have a theory of characteristic classes that is much like that of vector bundles, but with notable differences. Some of the characteristic classes of a foliation come from its induced normal bundle, but there are additional secondary classes that depend on more detailed information about the foliation.

  • Sanghyeon Lee, Vafa-Witten invariants on elliptic surfaces and moduli space of quasisections

    B236-1 IBS, Korea, Republic of
    Complex Geometry Seminar

        Speaker Sanghyeon Lee Ajou University For a threefold X = C x S, D. Nesterov developed a theory of quasimaps from C to the moduli space of sheaves over S. He compared the moduli space of quasimaps and the moduli space of sheaves over the threefold X and also compared their obstruction theories.

  • Gian Pietro Pirola, Sections of the Jacobian bundles of plane curves and applications

    B236-1 IBS, Korea, Republic of
    Algebraic Geometry Seminar

        Speaker Gian Pietro Pirola University of Pavia We study normal functions (sections of the Jacobian bundle) defined on the moduli space of pointed plane curves. Using the infinitesimal Griffiths invariant (refined by M. Green and C. Voisin) we show that a normal function with nontrivial but sufficiently "small" support cannot be "locally constant".