Giancarlo Urzua

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  • Giancarlo Urzúa, Wormholes: MMP, Topology, Continued Fractions

    on-line
    Algebraic Geometry Seminar

         Speaker Giancarlo Urzúa Pontificia Universidad Catolica de Chile We defined wormholes in https://arxiv.org/abs/2102.02177 (joint with Nicolás Vilches). Conjecturally it is a way to non-continuous travel in the KSBA compactification of the moduli space of surfaces of general type. It depends on a particular MMP. In that paper, we verified the conjecture in several …

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  • Seminars on Algebraic Surfaces and Related Topics

    B236-1 IBS, Korea, Republic of
    Conferences and Workshops

         Schedule Feb. 27 N-resolutions Giancarlo Urzua (UC Chille) 13:30-14:20 Smooth Projective Surfaces with Pseudo-effective Tangent Bundles Guolei Zhong (IBS-CCG) 14:40-15:30 Nodal Surfaces and Cubic Discriminants Yonghwa Cho (IBS-CCG) 15:50-16:40 Lagrangian Fibration Structure on the Cotangent Bundle of a Del Pezzo Surface of Degree 4 Hosung Kim (IBS-CCG) 17:00-17:50 Dinner 18:20-20:00 Feb. 28 Deformations …

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  • Giancarlo Urzua, N-resolutions

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

         Speaker Giancarlo Urzua UC Chille (This is a part of Seminars on Algebraic Surfaces and Related Topics.) I will introduce N-resolutions, which are the negative analog of the Kollár--Shepherd-Barron (1988) P-resolutions of a 2-dimensional cyclic quotient singularity. (We instead work with the corresponding M-resolutions of Benkhe-Christophersen (1994).) I will start by describing an …

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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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  • Moduli of Surfaces and Beyond

    IBS Science Culture Center Daejeon, Korea, Republic of
    Conferences and Workshops

      Speakers Lecture Series (3hr) Radu Laza (Stony Brook University) Matthias Schütt (Leibniz Universität Hannover) Jenia Tevelev (University of Massachusetts Amherst) Research Talks (1hr) Kenneth Ascher (University of California, Irvine) Dori Bejleri (University of Maryland, College Park) Harold Blum (Georgia Institute of Technology) Nathan Chen (Harvard University) Changho Han (Korea University) Donggun Lee (IBS-CCG) Samouil …

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