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Donggun Lee, Birational Geometry of Generalized Hessenberg Varieties and the Generalized Shareshian-Wachs Conjecture

B236-1 IBS, Korea, Republic of

    Speaker Donggun Lee IBS-CCG Hessenberg varieties are subvarieties of flag varieties with interesting properties in both algebro-geometric and combinatorial perspectives. The Shareshian-Wachs conjecture connects their cohomology with the chromatic quasi-symmetric functions of the associated graphs, which are refinements of the chromatic polynomials. In this talk, we introduce generalized Hessenberg varieties and study their …

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Jihun Yum, Stochastic Bergman Geometry

B266 IBS, Korea, Republic of

    Speaker Jihun Yum IBS-CCG For a bounded domain Ω in Cn, let P(Ω) be the set of all (real) probability distributions on Ω. Then, in general, P(Ω) becomes an infinite-dimensional smooth manifold and it always admit a natural Riemannian pseudo-metric, called the Fisher information metric, on P(Ω). Information geometry studies a finite-dimensional submanifold …

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Junyan Zhao, Moduli of Curves of Genus 6 and K-stability

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    Speaker Junyan Zhao University of Illinois Chicago A general curve C of genus 6 can be embedded into the unique quintic del Pezzo surface X5 as a divisor of class -2KX5. This embedding is unique up to the action of the symmetric group S5. Taking a double cover of X5 branched along C yields …

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Hoseob Seo, On L2 Extension from Singular Hypersurfaces

B266 IBS, Korea, Republic of

    Speaker Hoseob Seo IBS CCG In L2 extension theorems from a singular hypersurface in a complex manifold, important roles are played by certain measures such as the Ohsawa measure which determine when a given function can be extended. We show that the singularity of the Ohsawa measure can be identified in terms of …

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Workshop on Moduli, K-stability, Fano varieties, and related topics

IBS Science Culture Center Daejeon, Korea, Republic of

Speakers Arnaud Beauville (University of Nice) Fabrizio Catanese (University of Bayreuth) Thibaut Delcroix (University of Montpellier) Kento Fujita (Osaka University) Young-Hoon Kiem (KIAS) Shigeru Mukai (RIMS, Kyoto University) Yuri Prokhorov (Steklov Mathematical Institute) Constantin Shramov (Steklov Mathematical Institute) Abstracts PDF File Schedule Day 1: May 15 (Monday)   ~10:00 Registration 10:00~11:00 Shigeru Mukai Moduli of …

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Changho Han, Compact Moduli of K3 Surfaces with a Given Nonsymplectic Cyclic Action

B236-1 IBS, Korea, Republic of

    Speaker Changho Han University of Waterloo To construct a moduli space which is itself a compactification of a given moduli space, one needs to enlarge the class of objects in consideration (e.g. adding certain singular curves to the class of smooth curves). After a brief review of the compactifications of the moduli of …

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Sung Gi Park, Kodaira Dimension and Hyperbolicity for Smooth Families of Varieties

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    Speaker Sung Gi Park Harvard University In this talk, I will discuss the behavior of positivity, hyperbolicity, and Kodaira dimension under smooth morphisms of complex quasi-projective manifolds. This includes a vast generalization of a classical result: a fibration from a projective surface of non-negative Kodaira dimension to a projective line has at least …

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IBS 복소기하학연구단 Center for Complex Geometry
기초과학연구원 복소기하학연구단
대전 유성구 엑스포로 55 (우) 34126
IBS Center for Complex Geometry
Institute for Basic Science (IBS)
55 Expo-ro Yuseong-gu Daejeon 34126 South Korea
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