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Seung-Jo Jung, Hodge Ideals and Spectra of Hypersurface Singularities

B266 IBS, Korea, Republic of

     Speaker Seung-Jo Jung Jeonbuk National University Recently Mustata-Popa introduced a generalisation of multiplier ideals, which is called Hodge ideals. This talk introduces the Hodge ideals and explains the relations with other invariants, e.g. Bernstein-Sato polynomials, Hodge spectra, log canonical thresholds, minimal exponents etc. Mainly this talk concerns the relation between Hodge ideals and …

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Hyungryul Baik, Limits of Canonical Metrics in Low-dimensions

B266 IBS, Korea, Republic of

     Speaker Hyungryul Baik KAIST For a tower of finite normal covers of graphs or surfaces, one can consider a sequence of metrics on the base given by pull-back of canonical metric of the covers. We show that such a sequence has a limit and it depends only on the cover approximated by the …

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Sungmin Yoo, Fiberwise Kähler-Ricci Flows on Families of Strongly Pseudoconvex Domains

B266 IBS, Korea, Republic of

     Speaker Sungmin Yoo IBS, Center for Complex Geometry A study on the positive variation of Kähler-Einstein metrics is first developed by Schumacher. More precisely, he has proved that the fiberwise Kähler-Einstein metrics on a family of canonically polarized compact Kähler manifolds is positive-definite on the total space. Later, Berman constructed the fiberwise Kähler-Ricci …

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Sungmin Yoo, Bergman Metrics and Kähler-Einstein Metrics on Projective Manifolds

B266 IBS, Korea, Republic of

     Speaker Sungmin Yoo IBS, Center for Complex Geometry After Yau suggested the problem of approximations of Kähler-Einstein metrics by Bergman type metrics, various types of Bergman metrics have been developed and studied by Tian, Donaldson, Tsuji, etc. They showed that if a polarized manifold admits a Kähler-Einstein metric, there exist a sequence of …

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Qifeng Li, Rigidity of Wonderful Group Compactifications under Fano Deformations

B266 IBS, Korea, Republic of

     Speaker Qifeng Li IBS, Center for Complex Geometry For a complex connected semisimple linear algebraic group G of adjoint type and of rank n, De Concini and Procesi constructed its wonderful compactification X, which is a smooth Fano variety of Picard number n enjoying many interesting properties. In this talk, we will show …

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Seungjae Lee, Symmetric Differentials on Complex Hyperbolic Forms

B266 IBS, Korea, Republic of

     Speaker Seungjae Lee IBS, Center for Complex Geometry Let Γ be a cocompact torsion-free lattice in the automorphism group of complex unit ball Bn, Aut(Bn). In this talk, we discuss the existence of symmetric differentials on the compact ball quotient Σ = Bn / Γ. Since Σ has a Kähler metric induced by …

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Seungjae Lee, L2 Extension of Holomorphic Jets on Complex Hyperbolic Forms

B266 IBS, Korea, Republic of

     Speaker Seungjae Lee IBS, Center for Complex Geometry As the continuation of the previous talk, I discuss an L2 extension problem of holomorphic jets on compact complex hyperbolic forms. Let Γ be a cocompact torsion-free lattice in the automorphism group Aut(Bn) and Ω be a quotient Bn × Bn given by diagonal action …

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Hosung Kim, The Space of Rational Curves on a General Hypersurface of Projective Space

B266 IBS, Korea, Republic of

     Speaker Hosung Kim IBS, Center for Complex Geometry In 1979, the work of Mori had brought out the importance of the study of rational curves in higher-dimensional geometry. In 1990s, applying Mori's bend-and-break method, Campana and Kollar-Miyaoka-Mori proved that any Fano manifold is rationally connected. Since then the family of raional curves on …

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Lucas Kaufmann, Introduction to Dynamics in Several Complex Variables

B266 IBS, Korea, Republic of

     Speaker Lucas Kaufmann IBS, Center for Complex Geometry The field of complex dynamics deals with the study of the iteration of a map from a complex manifold to itself. The one dimensional theory is more than one-hundred years old and is now very well developed. Due to the fundamental differences between complex analysis …

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Lucas Kaufmann, Commuting Pairs of Endomorphisms

B266 IBS, Korea, Republic of

     Speaker Lucas Kaufmann IBS, Center for Complex Geometry The study of functional equations is at the origin of the early developments of the iteration theory of polynomials and rational functions, carried out by Fatou, Julia, Ritt and others. Among these equations, the commutation relation f g = g f is particularly interesting. In …

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Joonyeong Won, K-stability, Kähler-Einstein Metric on Fano Varieties and Sasaki-Einstein Metric on 5-dimensional Smale Manifolds

B266 IBS, Korea, Republic of

     Speaker Joonyeong Won KIAS We discuss on recent progresses of the existence problem of Kähler-Einstein metric on Fano varieties by K-stability of them and also the existence problem of Sasaki-Einstein metric on 5-dimensional Smale manifolds via K-stability of weighted hypersurface log del Pezzo surfaces.

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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