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Kyeong-Dong Park, Kähler-Einstein Metrics on Smooth Fano Symmetric Varieties with Picard Number One

B266 IBS, Korea, Republic of

     Speaker Kyeong-Dong Park IBS-CGP Symmetric varieties are normal equivarient open embeddings of symmetric homogeneous spaces and they are interesting examples of spherical varieties. I will prove that all smooth Fano symmetric varieties with Picard number one admit Kähler-Einstein metrics using a combinatorial criterion for K-stability of Fano spherical varieties obtained by Delcroix. To …

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Minseong Kwon, Integrability of G-structures II

B266 IBS, Korea, Republic of

     Speaker Minseong Kwon KAIST This is a working seminar to introduce the notion of an integrable G-structure and its obstruction class. In the first talk, I discussed the definition of an integrable G-structure and introduced the existence theorem for the structure tensor. In this talk, I will construct the structure tensor of a …

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Nguyen Ngoc Cuong, Hölder Continuous Solutions to Complex Monge-Ampère Equations and its Applications II

B266 IBS, Korea, Republic of

     Speaker Nguyen Ngoc Cuong KAIST The Monge-Ampère equations provide Kähler-Einstein metrics on projective manifolds with negative or zero first Chern classes thanks to the AubinYau and Yau theorems. However, most projective manifolds do not have a negative definite or trivial first Chern class. The study of the canonical metric on these manifolds leads …

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Minseong Kwon, Integrability of G-structures III

B266 IBS, Korea, Republic of

     Speaker Minseong Kwon KAIST This is a working seminar to introduce the notion of an integrable G-structure and its obstruction class. In the previous two talks, we discussed the definition of the k-th order structure tensor of a G-structure. In the third talk, we will discuss how the structure tensors can be characterized …

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Sangbum Yoo, Spectral Data for Principal Higgs Bundles over a Singular Curve

B266 IBS, Korea, Republic of

     Speaker Sangbum Yoo Gongju National University of Education Spectral data for Higgs bundles over a smooth curve has been studied by several mathematicians. The studies in this direction are originated by N.J.Hitchin. Specially, it has contributed to the studies on the fibers of the Hitchin map. In this talk, I will introduce spectral …

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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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IBS 복소기하학연구단 Center for Complex Geometry
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IBS Center for Complex Geometry
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