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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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  • Workshop on Hessenberg varieties, Lusztig varieties, and Affine Grassmannians

    B109 IBS, Korea, Republic of
    Conferences and Workshops

      This workshop brings together experts in Hessenberg varieties, Lusztig varieties, and the affine Grassmannian. It focuses on the rich interactions among these geometric objects and their connections to representation theory and combinatorics. Recent breakthroughs and new developments will be presented and discussed. The workshop aims to foster collaboration and inspire future research. Invited Speakers …

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  • Yoonjoo Kim, Two results on Lagrangian fibrations

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

        Speaker Yoonjoo Kim Columbia U. I would like to report two ongoing results on Lagrangian fibrations of smooth symplectic varieties. The first is the construction of a delta-regular smooth group scheme that acts on a given Lagrangian fibration. It is a generalization of the result of Arinkin-Fedorov, who proved the result under the …

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  • Hyukmoon Choi, Equivariant compactification structures on smooth projective horospherical varieties of Picard number 1

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

        Speaker Hyukmoon Choi IBS CCG and KAIST A projective variety V is an equivariant compactification of an algebraic group G if there exists an algebraic G-action on V with a Zariski open orbit O, which is equivariantly biregular to G. Such a G-action is called an equivariant compactification (EC) structure on V. For …

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  • Makoto Enokizono, Normal stable degenerations of Noether-Horikawa surfaces

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

        Speaker Makoto Enokizono University of Tokyo Noether-Horikawa surfaces are surfaces of general type satisfying the equation K2=2pg−4, which represents the equality of the Noether inequality K2≥2pg−4 for surfaces of general type. In the 1970s, Horikawa conducted a detailed study of smooth Noether-Horikawa surfaces, providing a classification of these surfaces and describing their moduli spaces. …

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  • Doyoung Choi, Singularities and syzygies of secant varieties of smooth projective varieties

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

        Speaker Doyoung Choi KAIST / IBS We study the higher secant varieties of a smooth projective variety embedded in projective space. We prove that when the variety is a surface and the embedding line bundle is sufficiently positive, these varieties are normal with Du Bois singularities and the syzygies of their defining ideals …

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