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  • Compact Kähler varieties with pseudo-effective tangent sheaf and a dynamical application

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

        Speaker Guolei Zhong East China Normal University Positivity properties of tangent sheaves are known to impose strong restrictions on the global geometry of projective varieties and, more generally, compact Kähler varieties. In this talk, after briefly reviewing the background, we will present several structural results for compact Kähler varieties with pseudo-effective tangent sheaf. …

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  • Flag variety bundles encoding pseudo-product structures

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

        Speaker David Sykes IBS-CCG This talk will introduce a natural construction for encoding codimension 1 pseudo-product structures into filtered manifolds amenable to analysis by Tanaka prolongation techniques, and its application to local geometry of CR hypersurfaces. Classically, Tanaka prolongation has only been applicable to maximally nondegenerate pseudo-product structures, while our new techniques require …

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  • Models for elliptic surfaces with a bisection

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

        Speaker Sönke Rollenske Marburg University In the study of (relatively minimal) elliptic surfaces $f\colon S \to C$ with a section, the Weierstrass model plays an important role. We discuss two different models for elliptic surfaces with a bisection (or more generally an $f$-nef divisor which has degree two on the fibres): a birational …

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  • Compact complex parallelisable nilmanifolds with unobstructed deformations

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

        Speaker Sönke Rollenske Marburg University Compact quotients of non-abelian complex nilpotent Lie groups are non-Kähler manifolds with trivial canonical bundle, the most prominent example being the Iwasawa manifold. We give a precise characterisation of the (rare) cases where deformations of such manifolds are unobstructed in terms of so-called verbal ideals in free nilpotent …

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  • TBA

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

        Speaker Yewon Luke Cho Gyeongsang National U TBA

  • KSBA moduli compactifications and weighted stable hyperplane arrangements

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

        Speaker Xian Wu Yonsei University We begin with an overview of the framework of KSBA (Kollár—Shepherd-Barron—Alexeev) moduli spaces and stable degenerations, emphasizing some phenomena that distinguish the higher-dimensional cases from the Deligne–Mumford moduli of stable curves. We then survey several existing explicit constructions of KSBA compactifications. As a detailed example, we discuss the …

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  • Cylinders in Fano threefolds

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

        Speaker In-Kyun Kim HCMC KIAS A variety $X$ is called cylindrical if it contains a Zariski-open subset isomorphic to $Z \times \mathbb A^1$ for some affine variety $Z$. If such an open subset is the complement of the support of an effective $\mathbb{Q}$-divisor $D$ satisfying $D \sim_{\mathbb Q} -K_X$, then it is called …

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