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  • Workshop on Hyperkähler Varieties and Related Topics

    B109 IBS, Korea, Republic of
    Conferences and Workshops

    Invited Speakers (three one-hour lectures) Ekaterina Amerik (HSE U.) Yoonjoo Kim (Columbia U.) Zhiyuan Li (SCMS, Fudan U.) Keiji Oguiso (U. Tokyo) Abstracts PDF file Schedule March 10 (Monday) 14:00-15:00 Registration 15:00-16:00 Amerik, Lecture I 16:00-16:30 Coffee Break 16:30-17:30 Li, Lecture I 18:00-20:00 Speakers dinner March 11 (Tuesday) 11:00-12:00 Amerik, Lecture II 12:00-14:00 Lunch 14:00-15:00 …

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  • Lorenzo Barban, General results on C*-actions on projective varieties

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

        Speaker Lorenzo Barban IBS CCG In this lecture series we aim to describe the rich relation between C*-actions on complex normal projetive varieties and the birational maps among the associated geometric quotients. We will begin this first seminar by explaining a motivating example, called the Atiyah flop. We will then discuss general results …

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  • Lorenzo Barban, Geometric Invariant Theory for C*-actions

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

        Speaker Lorenzo Barban IBS CCG In this second talk, which is the technical core of the lecture series, we describe several tools to study C*-actions on projective varieties, such as the bandwidth, the AMvsFM Lemma, and the pruning of a variety. With this, we will be able to describe the -birational geometry of …

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  • Lorenzo Barban, Geometric realization of birational maps among Mori dream spaces

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

        Speaker Lorenzo Barban IBS CCG Given a birational map ϕ among normal projective varieties, a geometric realization of ϕ is a normal projective C*-variety such that the birational map among geometric quotients parametrizing general orbits coincides with ϕ. Geometric realizations can be thought of as a projective algebraic version of the notion of …

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  • Mihai Paun, Positivity of quotients of holomorphic tensor fields (Lecture I)

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

        Speaker Mihai Paun U. Bayreuth I will present the main results and techniques in the preprint arxiv:2502.02183 (joint with J. Cao). This was motivated by the recent preprint by W. Ou, cf. arXiv:2501.1808 (especially by the algebraicity criteria for foliations on compact Kähler manifolds in this article). The first lecture is dedicated to …

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  • Mihai Paun, Positivity of quotients of holomorphic tensor fields (Lecture II)

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

        Speaker Mihai Paun U. Bayreuth I will present the main results and techniques in the preprint arxiv:2502.02183 (joint with J. Cao). This was motivated by the recent preprint by W. Ou, cf. arXiv:2501.1808 (especially by the algebraicity criteria for foliations on compact Kähler manifolds in this article). The first lecture is dedicated to …

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  • Thibaut Delcroix, Weighted Kähler geometry and semisimple principal fibrations (Lecture I)

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

        Speaker Thibaut Delcroix Université de Montpellier In Kähler geometry, especially in the questions of existence of canonical Kähler metrics, the volume form ωn associated with a Kähler form ω plays a central role. In weighted Kähler geometry, we consider a Kähler manifold X equipped with a Hamiltonian action of a torus T, a …

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  • Jinhyung Park, Effective gonality theorem on weight-one syzygies of algebraic curves

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

        Speaker Jinhyung Park KAIST In 1986, Green-Lazarsfeld raised the gonality conjecture asserting that the gonality gon(C) of a smooth projective curve C of genus g can be read off from weight-one syzygies of a sufficiently positive line bundle L, and also proposed possible least degree of L, that is 2g+gon(C)-1. In 2015, Ein-Lazarsfeld …

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  • Thibaut Delcroix, Weighted Kähler geometry and semisimple principal fibrations (Lecture II)

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

        Speaker Thibaut Delcroix Université de Montpellier In Kähler geometry, especially in the questions of existence of canonical Kähler metrics, the volume form ωn associated with a Kähler form ω plays a central role. In weighted Kähler geometry, we consider a Kähler manifold X equipped with a Hamiltonian action of a torus T, a …

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  • Thibaut Delcroix, Weighted Kähler geometry and semisimple principal fibrations (Lecture III)

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

        Speaker Thibaut Delcroix Université de Montpellier In Kähler geometry, especially in the questions of existence of canonical Kähler metrics, the volume form ωn associated with a Kähler form ω plays a central role. In weighted Kähler geometry, we consider a Kähler manifold X equipped with a Hamiltonian action of a torus T, a …

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