복소기하학연구단
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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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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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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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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, … |
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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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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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