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TZID:Asia/Seoul
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TZOFFSETFROM:+0900
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DTSTART:20220101T000000
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BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20230704T160000
DTEND;TZID=Asia/Seoul:20230704T170000
DTSTAMP:20260425T212104
CREATED:20230620T053922Z
LAST-MODIFIED:20230620T053922Z
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SUMMARY:Shinnosuke Okawa\, Moduli Space of Semiorthogonal Decompositions
DESCRIPTION:    Speaker\n\n\nShinnosuke Okawa\nOsaka University\n\n\n\n\n\n\nSemiorthogonal decomposition (SOD) is a central notion in the study of triangulated categories. In particular\, SODs of the bounded derived category of coherent sheaves of a variety (SODs of the variety\, for short) have profound relations to its geometry. In this talk I discuss the moduli functor which classifies SODs of the fibers of smooth projective morphisms. The main result is that it is an algebraic space which is locally etale over the target of the morphism. I will explain the main points of the proof\, various applications and open problems. This talk is based on the joint work arXiv:2002.03303 with Andrea Ricolfi and Pieter Belmans.
URL:https://ccg.ibs.re.kr/event/2023-07-04/
LOCATION:B236-1\, IBS\, Korea\, Republic of
CATEGORIES:Algebraic Geometry Seminar
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DTSTART;TZID=Asia/Seoul:20230706T110000
DTEND;TZID=Asia/Seoul:20230706T120000
DTSTAMP:20260425T212104
CREATED:20230620T054046Z
LAST-MODIFIED:20230620T054046Z
UID:2340-1688641200-1688644800@ccg.ibs.re.kr
SUMMARY:Shinnosuke Okawa\, Semiorthogonal Decompositions and Relative Canonical Base Locus
DESCRIPTION:    Speaker\n\n\nShinnosuke Okawa\nOsaka University\n\n\n\n\n\n\nMotivated by the DK hypothesis\, some years ago I proved that SODs of the derived category of a smooth projective variety are strongly constrained by the base locus of the canonical linear system. In particular\, this leads to the indecomposability of the derived category of varieties whose canonical bundles are globally generated (hence minimal). In this talk I will briefly recall this work and discuss its generalization to the relative settings. The latter implies new indecomposability results\, including the case of minimal surfaces of positive irregularity. This talk is based on arXiv:2304.14048.
URL:https://ccg.ibs.re.kr/event/2023-07-06/
LOCATION:B236-1\, IBS\, Korea\, Republic of
CATEGORIES:Algebraic Geometry Seminar
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