• Qifeng Li, Rigidity of Projective Symmetric Manifolds of Picard Number 1 Associated to Composition Algebras

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

        Speaker Qifeng Li Shandong University To each complex composition algebra A, there associates a projective symmetric manifold X(A) of Picard number 1. The vareity X(A) is closed related with Freudenthal's Magic Square, which is a square starting from the adjiont varieties of F4, E6, E7 and E8. In a recent joint work with

  • Chang-Yeon Chough, Introduction to algebraic stacks, I, II

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

        Speaker Chang-Yeon Chough Sogang Univ. This is an 8 hours long lecture series on algebraic stacks, which have become an important part of algebraic geometry (for example, in the study of moduli spaces) since Deligne and Mumford established the foundation of the theory of stacks. This crash course will be following roughly "Algebraic

  • Chang-Yeon Chough, Introduction to algebraic stacks, III, IV

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

        Speaker Chang-Yeon Chough Sogang Univ. This is an 8 hours long lecture series on algebraic stacks, which have become an important part of algebraic geometry (for example, in the study of moduli spaces) since Deligne and Mumford established the foundation of the theory of stacks. This crash course will be following roughly "Algebraic

  • Patrick Brosnan, How Markman Saves the Hodge Conjecture (for Weil Type Abelian Fourfolds) from Kontsevich, I

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

        Speaker Patrick Brosnan University of Maryland I'll explain what I know about two very interesting pieces of work: (1) Markman's proof of the Hodge conjecture for Weil type abelian fourfolds of discriminant 1. (2) Kontsevich's tropical approach to looking for counterexamples to the Hodge conjecture for Weil type abelian varieties. Then I'll explain

  • Patrick Brosnan, How Markman Saves the Hodge Conjecture (for Weil Type Abelian Fourfolds) from Kontsevich, II

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

        Speaker Patrick Brosnan University of Maryland I'll explain what I know about two very interesting pieces of work: (1) Markman's proof of the Hodge conjecture for Weil type abelian fourfolds of discriminant 1. (2) Kontsevich's tropical approach to looking for counterexamples to the Hodge conjecture for Weil type abelian varieties. Then I'll explain

  • Chang-Yeon Chough, Introduction to algebraic stacks, V, VI

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

        Speaker Chang-Yeon Chough Sogang Univ. This is an 8 hours long lecture series on algebraic stacks, which have become an important part of algebraic geometry (for example, in the study of moduli spaces) since Deligne and Mumford established the foundation of the theory of stacks. This crash course will be following roughly "Algebraic

  • Chang-Yeon Chough, Introduction to algebraic stacks, VII, VIII

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

        Speaker Chang-Yeon Chough Sogang Univ. This is an 8 hours long lecture series on algebraic stacks, which have become an important part of algebraic geometry (for example, in the study of moduli spaces) since Deligne and Mumford established the foundation of the theory of stacks. This crash course will be following roughly "Algebraic

  • Gunhee Cho, Non-measure Hyperbolicity of K3 and Enriques Surfaces

    B266 IBS, Korea, Republic of
    Several Complex Variables Seminar

        Speaker Gunhee Cho UCSB By exploiting the upper semicontinuity of the Kobayashi-Eisenman pseudo volume (and pseudometric) under deformations of complex structures, we establish the non-measure hyperbolicity of K3 surfaces—which M. Green and P. Griffiths verified for certain cases in 1980—holds for all K3 surfaces. Our result provides a stronger condition than the Kobayashi

  • Minseong Kwon, Spherical Geometry of Hilbert Schemes of Conics in Adjoint Varieties

    B266 IBS, Korea, Republic of
    Complex Geometry Seminar

        Speaker Minseong Kwon KAIST For each rational homogeneous space, the space of lines is now well-understood and can be described in terms of the induced group action. It is natural to consider rational curves of higher degree, and in this talk, we discuss geometry of conics in adjoint varieties, which are rational homogeneous

  • Kyeong-Dong Park, K-stability of Fano Spherical Varieties, I

    B266 IBS, Korea, Republic of
    Complex Geometry Seminar

        Speaker Kyeong-Dong Park Gyeongsang National University The aim of this seminar is to provide participants with a comprehensive understanding of the paper "K-stability of Fano spherical varieties" by Thibaut Delcroix. For a reductive algebraic group G, a normal G-variety is called spherical if it contains an open B-orbit, where B is a fixed

  • Kyeong-Dong Park, K-stability of Fano Spherical Varieties, II

    B266 IBS, Korea, Republic of
    Complex Geometry Seminar

        Speaker Kyeong-Dong Park Gyeongsang National University The aim of this seminar is to provide participants with a comprehensive understanding of the paper "K-stability of Fano spherical varieties" by Thibaut Delcroix. For a reductive algebraic group G, a normal G-variety is called spherical if it contains an open B-orbit, where B is a fixed

  • Kyeong-Dong Park, K-stability of Fano Spherical Varieties, III

    B266 IBS, Korea, Republic of
    Complex Geometry Seminar

        Speaker Kyeong-Dong Park Gyeongsang National University The aim of this seminar is to provide participants with a comprehensive understanding of the paper "K-stability of Fano spherical varieties" by Thibaut Delcroix. For a reductive algebraic group G, a normal G-variety is called spherical if it contains an open B-orbit, where B is a fixed