Events Search and Views Navigation

Event Views Navigation

Today

  • Shin-Young Kim, Minimal Rational Curves on Complete Symmetric Varieties

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

        Speaker Shin-Young Kim IBS-CGP We describe the families of minimal rational curves on any complete symmetric variety, and the corresponding varieties of minimal rational tangents. In particular, we prove that these varieties are homogeneous and that for non-exceptional irreducible wonderful varieties, there is a unique family of minimal rational curves. We relate these …

    Continue Reading

  • Shinnosuke Okawa, Moduli Space of Semiorthogonal Decompositions

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

        Speaker Shinnosuke Okawa Osaka University Semiorthogonal decomposition (SOD) is a central notion in the study of triangulated categories. In particular, SODs of the bounded derived category of coherent sheaves of a variety (SODs of the variety, for short) have profound relations to its geometry. In this talk I discuss the moduli functor which …

    Continue Reading

  • Shinnosuke Okawa, Semiorthogonal Decompositions and Relative Canonical Base Locus

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

        Speaker Shinnosuke Okawa Osaka University Motivated by the DK hypothesis, some years ago I proved that SODs of the derived category of a smooth projective variety are strongly constrained by the base locus of the canonical linear system. In particular, this leads to the indecomposability of the derived category of varieties whose canonical …

    Continue Reading

  • 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 …

    Continue Reading

  • 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 …

    Continue Reading

  • 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 …

    Continue Reading

  • 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 …

    Continue Reading

  • 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 …

    Continue Reading

  • 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 …

    Continue Reading

  • 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 …

    Continue Reading

  • 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 …

    Continue Reading

  • 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 …

    Continue Reading