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  • Benjamin Bakker, Hodge Theory and Lagrangian Fibrations

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

        Speaker Benjamin Bakker Univ. Illinois Chicago Compact hyperkahler manifolds X are higher-dimensional generalizations of K3 surfaces; their geometry is tightly constrained by the existence of a holomorphic symplectic form. For example, a result of Matsushita says the only nontrivial fibration structures f:X→B they admit are fibrations by Lagrangian tori. In this talk, I …

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  • Benjamin Bakker, A Proof of Matsushita’s Conjecture

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

        Speaker Benjamin Bakker Univ. Illinois Chicago Matsushita conjectured that for any Lagrangian fibration f:X→B of a compact hyperkahler manifold X, the fibers deform either maximally or trivially in moduli. In this talk I'll explain how to prove this conjecture via Hodge theory. I will also discuss some other features of the topology of …

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  • Shigeyuki Kondo, A Review on Enriques Surfaces: Moduli, Automorphism Groups and Positive Characteristics, I

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

        Speaker Shigeyuki Kondo Nagoya University The Enriques surface was discovered, in 1894 by Federigo Enriques, as a counter-example of a rationality problem. First I would like to recall the moduli space and the automorphism groups of Enriques surfaces over the complex numbers. In the later half, I shall mention a recent progress in …

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  • Shigeyuki Kondo, A Review on Enriques Surfaces: Moduli, Automorphism Groups and Positive Characteristics, II

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

        Speaker Shigeyuki Kondo Nagoya University The Enriques surface was discovered, in 1894 by Federigo Enriques, as a counter-example of a rationality problem. First I would like to recall the moduli space and the automorphism groups of Enriques surfaces over the complex numbers. In the later half, I shall mention a recent progress in …

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  • Hsueh-Yung Lin, Motivic Invariants of Birational Automorphisms of Threefolds

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

        Speaker Hsueh-Yung Lin National Taiwan University The motivic invariant c(f) of a birational automorphism f : X - → X measures the difference between the birational types of the exceptional divisors of f and those of the inverse f-1. In general c(f) is nonzero: this is the case when f is some Cremona …

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  • Ching-Jui Lai, Anticanonical Volume of Singular Fano Threefolds

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

        Speaker Ching-Jui Lai National Cheung Kung University The set of canonical Fano threefolds form a bounded family by results of Kawamata, Mori-Miyaoka-Kollar-Tagaki, and in a much more general setting by Birkar. In particular, the anticaonical volume -KX3 is bounded. An optimal lower bound is 1/330 by the work of Chen-Chen. In this talk, …

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  • Workshop on Algebraic Geometry in Busan

    La Valse Hotel Busan, Korea, Republic of
    Conferences and Workshops

    Speakers Lorenzo Barban (IBS-CCG) Jungkai Chen (National Taiwan University) Toshiyuki Katsura (University of Tokyo) Shigeyuki Kondo (Nagoya University) Ching-Jui Lai (National Cheung Kung University) Donggun Lee (IBS-CCG) Hsueh-Yung Lin (National Taiwan University) Shigeru Mukai (Kyoto University) Keiji Oguiso (University of Tokyo) Abstracts PDF file Schedule May 14 (Tuesday) 14:00~14:20 Registration 14:20~15:20 Oguiso 15:40~16:40 Lai 17:00~18:00 …

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  • Jungkai Chen, Threefold Divisorial Contraction to Curves

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

        Speaker Jungkai Chen National Taiwan University The minimal model program works pretty well in dimension three. However, the explicit classification of divisorial contractions to points was completed quite recently thanks to the work of Kawamata, Hayakawa, Kawakita and more. In this talk, we are going to describe threefold divisorial contractions to curves. We …

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  • Sung Rak Choi, Adjoint Asymptotic Multiplier Ideal Sheaves

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

        Speaker Sung Rak Choi Yonsei University In this talk, we define and study a triple called a potential triple which consists of a pair (X, Δ) and a polarizing pseudoeffective divisor D. To such a triple, we define a so-called potential multiplier ideal sheaf which gives a simultaneous generalization of the multiplier ideal …

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  • Minyoung Jeon, Prym-Brill-Noether Loci and Prym-Petri Theorem

    on-line
    Algebraic Geometry Seminar

    Zoom ID: 880 6763 5837 PW: 312515     Speaker Minyoung Jeon University of Georgia Prym varieties are abelian varieties constructed from etale double covers of algebraic curves. In 1985, Welters equipped Prym varieties with Brill-Noether loci. In this talk, we will describe the Prym-Brill-Noether loci with special vanishing at up to two marked points …

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