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DTSTART:20220101T000000
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DTSTART;TZID=Asia/Seoul:20230808T103000
DTEND;TZID=Asia/Seoul:20230808T120000
DTSTAMP:20260418T200155
CREATED:20230720T004506Z
LAST-MODIFIED:20230720T004633Z
UID:2375-1691490600-1691496000@ccg.ibs.re.kr
SUMMARY:Kyeong-Dong Park\, K-stability of Fano Spherical Varieties\, II
DESCRIPTION:    Speaker\n\n\nKyeong-Dong Park\nGyeongsang National University\n\n\n\n\n\n\nThe aim of this seminar is to provide participants with a comprehensive understanding of the paper “K-stability of Fano spherical varieties” by Thibaut Delcroix. For a reductive algebraic group G\, a normal G-variety is called spherical if it contains an open B-orbit\, where B is a fixed Borel subgroup of G. The class of spherical varieties contains several important families which were studied independently\, for example\, toric varieties\, rational homogeneous varieties\, group embeddings\, horospherical varieties\, symmetric varieties\, and wonderful varieties. They are classified by combinatorial objects called colored fans\, which generalize the fans appearing in the classification of toric varieties. We discuss Delcroix’s combinatorial criterion for K-stability of a smooth Fano spherical variety in terms of the barycenter of its moment polytope with respect to the Duistermaat-Heckman measure and data associated to the corresponding spherical homogeneous space. \n(1) Spherical varieties\, colored fans\, and algebraic moment polytopes \n(2) Criterion for K-stability of Fano spherical varieties and its applications \n(3) Equivariant test configurations with horospherical central fiber\, and modified Futaki invariant
URL:https://ccg.ibs.re.kr/event/2023-08-08-1030-1200/
LOCATION:B266\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20230808T150000
DTEND;TZID=Asia/Seoul:20230808T163000
DTSTAMP:20260418T200155
CREATED:20230720T004618Z
LAST-MODIFIED:20230720T004618Z
UID:2377-1691506800-1691512200@ccg.ibs.re.kr
SUMMARY:Kyeong-Dong Park\, K-stability of Fano Spherical Varieties\, III
DESCRIPTION:    Speaker\n\n\nKyeong-Dong Park\nGyeongsang National University\n\n\n\n\n\n\nThe aim of this seminar is to provide participants with a comprehensive understanding of the paper “K-stability of Fano spherical varieties” by Thibaut Delcroix. For a reductive algebraic group G\, a normal G-variety is called spherical if it contains an open B-orbit\, where B is a fixed Borel subgroup of G. The class of spherical varieties contains several important families which were studied independently\, for example\, toric varieties\, rational homogeneous varieties\, group embeddings\, horospherical varieties\, symmetric varieties\, and wonderful varieties. They are classified by combinatorial objects called colored fans\, which generalize the fans appearing in the classification of toric varieties. We discuss Delcroix’s combinatorial criterion for K-stability of a smooth Fano spherical variety in terms of the barycenter of its moment polytope with respect to the Duistermaat-Heckman measure and data associated to the corresponding spherical homogeneous space. \n(1) Spherical varieties\, colored fans\, and algebraic moment polytopes \n(2) Criterion for K-stability of Fano spherical varieties and its applications \n(3) Equivariant test configurations with horospherical central fiber\, and modified Futaki invariant
URL:https://ccg.ibs.re.kr/event/2023-08-08-1500-1630/
LOCATION:B266\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
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