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  • 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. …

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  • 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. …

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  • 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. …

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  • 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. …

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  • 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". …

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  • Han-Bom Moon, Ulrich bundles on intersections of quadrics

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

        Speaker Han-Bom Moon Fordham University An Ulrich bundle is a vector bundle with very strong cohomology vanishing conditions. Eisenbud and Schreyer conjectured that every smooth projective variety possesses an Ulrich bundle. Despite many results on low dimensional varieties and special varieties, the general existence is unknown. In this talk, I will describe recent …

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  • Sung Gi Park, Hodge symmetries of singular varieties

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

        Speaker Sung Gi Park Princeton U. / IAS The Hodge diamond of a smooth projective complex variety exhibits fundamental symmetries, arising from Poincaré duality and the purity of Hodge structures. In the case of a singular projective variety, the complexity of the singularities is closely related to the symmetries of the analogous Hodge-Du …

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  • Yoosik Kim, Disk Counting via GIT Quotients

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

        Speaker Yoosik Kim Pusan National University According to the Kempf–Ness theorem, the GIT quotient is equivalent to the symplectic reduction. Using this correspondence, we explain how to relate the counting of holomorphic disks between a symplectic manifold equipped with a Hamiltonian group action and its symplectic reduction. As an application, we derive the …

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  • Alex Abreu, On the Torelli Theorem for graphs and stable curves

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

        Speaker Alex Abreu Universidade Federal Fluminense The classical Torelli theorem states that a smooth curve can be recovered from its polarized Jacobian. In this talk, we will discuss the extensions of this theorem to stable curves and their dual graphs, as well as its dependence on the concept of compactified Jacobians. First, we …

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