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  • Changho Han, Trigonal Curves and Associated K3 Surfaces

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

        Speaker Changho Han Korea university K3 surfaces, as a generalization of elliptic curves, have a rich amount of geometric properties. Recalling that elliptic curves are double covers of rational curves branched over 4 distinct points, there are K3 surfaces that are cyclic triple covers of rational surfaces; Artebani and Sarti classified such generic …

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  • Justin Lacini, On Log del Pezzo Surfaces in Positive Characteristic

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

        Speaker Justin Lacini Princeton university A log del Pezzo surface is a normal surface with only Kawamata log terminal singularities and anti-ample canonical class. Over the complex numbers, Keel and McKernan have classified all but a bounded family of log del Pezzo surfaces of Picard number one. In this talk we will extend …

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  • David Sykes, CR Hypersurfaces, Studying 2-nondegenerate Structures via Absolute Parallelisms

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

        Speaker David Sykes IBS CCG The basic problem of finding (local) biholomorphisms mapping one real hypersurface in a complex space onto another is only well understood for a limited class of hypersurfaces, and has a fundamental relationship to their induced CR geometries. Following a light historical survey of major results in the area, …

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  • Naoto Yotsutani, Bott Manifolds with the Strong Calabi Dream Structure

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

        Speaker Naoto Yotsutani Kagawa university We prove that if the Futaki invariant of a polarized Bott manifold (X, L) for any ample line bundle L vanishes, then X is isomorphic to the products of the projective lines. This talk is based on a work joint with Kento Fujita (algebro-geometrical approach), and another independent …

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  • Giancarlo Urzua, The Birational Geometry of Markov Numbers

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

        Speaker Giancarlo Urzua Pontificia Universidad Catolica de Chile The projective plane is rigid. However, it may degenerate to surfaces with quotient singularities. After the work of Bădescu and Manetti, Hacking and Prokhorov 2010 classified these degenerations completely. They are Q-Gorenstein partial smoothings of P(a2, b2, c2), where a, b, c satisfy the Markov …

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  • Izzet Coskun, The Geometry of Moduli Spaces of Sheaves on P2

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

        Speaker Izzet Coskun University of Illinois Chicago In this talk, I will explain how to use Bridgeland stability conditions to compute the ample and effective cones of moduli spaces of sheaves on the projective plane. I will describe the birational geometry of these moduli spaces and give applications to the higher rank interpolation …

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  • Izzet Coskun, The Higher Rank Brill-Noether Problem on Surfaces

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

        Speaker Izzet Coskun University of Illinois Chicago In this talk, I will explain how to use Bridgeland stability conditions to compute the cohomology of a general stable sheaf on a K3 or abelian surface. This talk is based on joint work with Howard Nuer and Kota Yoshioka.

  • Luca Schaffler, An Explicit Wall Crossing for the Moduli Space of Hyperplane Arrangements

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

        Speaker Luca Schaffler Roma Tre University The moduli space of hyperplanes in projective space has a family of geometric and modular compactifications that parametrize stable hyperplane arrangements with respect to a weight vector. Among these, there is a toric compactification that generalizes the Losev-Manin moduli space of points on the line. We study …

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  • Yen-An Chen, Toric Fano Foliations

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

        Speaker Yen-An Chen National Taiwan University In recent years, there are significant developments of the minimal model program for foliated varieties. It is intriguing to ask if Fano foliations form a bounded family. It is anticipated that Borisov-Alexeev-Borisov conjecture also holds in the context of foliations. In this talk, I will discuss the …

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