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X-WR-CALNAME:Center for Complex Geometry
X-ORIGINAL-URL:https://ccg.ibs.re.kr
X-WR-CALDESC:Events for Center for Complex Geometry
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TZID:Asia/Seoul
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TZOFFSETFROM:+0900
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DTSTART:20200101T000000
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BEGIN:VEVENT
DTSTART;VALUE=DATE:20211209
DTEND;VALUE=DATE:20211210
DTSTAMP:20260504T155745
CREATED:20211208T150000Z
LAST-MODIFIED:20220124T011541Z
UID:831-1639008000-1639094399@ccg.ibs.re.kr
SUMMARY:Algebraic Geometry Day at CCG in IBS
DESCRIPTION:List of Seminars \n\n\n\n\n\nOn the Singular Loci of Higher Secants of Veronese Varieties\nKangjin Han (DGIST)\n14:00-14:50\, online \n\n\nManin’s Conjecture for a Log Del Pezzo Surface of Index 2\nDongSeon Hwang (Ajou Univ.)\n15:20-16:10\, IBS B266 \n\n\nUlrich Bundles on Cubic Fourfolds\nYeongrak Kim (Pusan National Univ.)\n16:30-17:20\, IBS B266
URL:https://ccg.ibs.re.kr/event/2021-12-09/
LOCATION:B266\, IBS\, Korea\, Republic of
CATEGORIES:Conferences and Workshops
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BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20211209T163000
DTEND;TZID=Asia/Seoul:20211209T172000
DTSTAMP:20260504T155745
CREATED:20211209T073000Z
LAST-MODIFIED:20211122T014017Z
UID:829-1639067400-1639070400@ccg.ibs.re.kr
SUMMARY:Yeongrak Kim\, Ulrich Bundles on Cubic Fourfolds
DESCRIPTION:     Speaker\n\n\nYeongrak Kim\nPusan National Univ.\n\n\n\n\n\n\n(This is a part of Algebraic Geometry Day at CCG in IBS.) \nUlrich bundles are geometric objects corresponding to maximally generated maximal Cohen-Macaulay modules\, whose existence has several interesting applications in commutative algebra\, homological algebra\, and linear algebra. After a pioneering work of Beauville and Eisenbud-Schreyer\, existence and classification of Ulrich bundles become important questions also in projective geometry. For instance\, they could help to understand the cone of cohomology tables of coherent sheaves on the underlying projective variety\, determinantal representations of hypersurfaces\, and determinantal representations of Cayley-Chow forms. In this talk\, I will discuss construction of Ulrich bundles on smooth cubic fourfolds. Unlike smooth cubic surfaces or threefolds\, the smallest possible rank of Ulrich bundles on a smooth cubic fourfold may vary if it is special\, i.e.\, X contains certain surfaces which are not homologous to complete intersections. On the other hand\, a (very) general cubic fourfold does not have an Ulrich bundle of rank <6. I will explain how to construct a rank 6 Ulrich bundle on an arbitrary smooth cubic fourfold. This is a joint work with Daniele Faenzi.
URL:https://ccg.ibs.re.kr/event/2021-12-09-1630/
LOCATION:B266\, IBS\, Korea\, Republic of
CATEGORIES:Algebraic Geometry Seminar
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