• 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 …

  • 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 …

  • 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 …

  • Constant Gaussian curvature metrics as maximizers of the bottom of the spectrum

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

        Speaker Yewon Luke Cho Gyeongsang National U A characterization of noncompact ball quotients by Munteanu (2009) implies that only complete Kähler-Einstein metrics on certain noncompact ball quotients maximize the bottom of the spectrum among complete Kähler metrics with Ricci curvature bounded below by -1. In this talk, I will report my recent observation, …

  • 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 …

  • 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 …

  • Hodge Theoretic Results for Nearly Kähler Manifolds

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

        Speaker Michael Albanese Adelaide University A nearly Kähler six-manifold admits a compatible SU(3)-structure. Verbitsky utilised this SU(3)-structure to obtain a generalisation of the Kähler identities, which he used to prove a Hodge decomposition analogous to the Kähler case. We extend these identities and the Hodge decomposition to nearly Kähler manifolds in arbitrary dimensions. …

  • Algebraic solutions to Griffiths’ infinitesimal period relations

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

        Speaker Philippe Eyssidieux U. Grenoble We will give an introduction to the homogenous pfaffian system called Griffiths' infinitesimal relations retracing its origins to Griffiths' discovery of Variations of Hodge Structures. Then we will define cycle-theoretic algebraic solutions and construct a projective parameter space for them. With this, Robles' theorem on Schubert Variations of …

  • Fundamental forms and infinitesimal symmetries of projective varieties

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

        Speaker Qifeng Li Shandong University The fundamental form is a basic object for manifolds and varieties. In this talk, we will give a bound on the dimension of the linear automorphism group of a projective variety $Z \subset \mathbb{P} V$ in terms of its fundamental forms at a general point. Moreover, we will …

  • On isotrivial cone structures of highest weight type

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

        Speaker Yingqi Liu IBS CCG Hwang and Li introduced cone structures with characteristic conic connections, partially generalizing VMRT structures on uniruled projective manifolds. For isotrivial cone structures with fiber Z, they established a projective-geometric criterion on Z ensuring the existence of torsion-free connections on the associated G-structures. In this talk, I will describe …

  • Cluster algebra school

    B109 IBS, Korea, Republic of
    Conferences and Workshops

    Speaker for lecture series Eunjeong Lee (Chungbuk National University) Speakers for research talk Byung Hee An (Kyungpook National University) Myungho Kim (Kyung Hee University) Abstracts PDF file HTML files: exchange   mutation Schedule October 22 (Thursday) 10:30-12:00 Eunjeong Lee, Lecture 1 14:00-15:30 Eunjeong Lee, Lecture 2 16:00-17:00 Myungho Kim 18:00-             Banquet October 23 (Friday) …

  • Conference on Complex Geometry

    IBS Science Culture Center Daejeon, Korea, Republic of
    Conferences and Workshops

    Speakers Rodolf Aguilar Aguilar (CIMAT, Guanajuato) Cong Ding (Shenzhen U.) Cecil Gachet (U. Bochum) Jaehyun Hong (IBS-CCG) Xiaojun Huang (Rutgers U.) Lucas Kaufmann (U. Orleans) Yuta Kusakabe (Kyushu U.) Minseong Kwon (AMSS, Beijing) Shin-ichi Matsumura (Tohoku U.) Suichung Ng (ECNU, Shanghai) Dan Popovici (U. Toulouse) Vasily Rogov (MPI, Leipzig) Min Ru (U. Houston) Aeryeong Seo …