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TZID:Asia/Seoul
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TZOFFSETFROM:+0900
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DTSTART:20200101T000000
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DTSTART;TZID=Asia/Seoul:20210513T110000
DTEND;TZID=Asia/Seoul:20210513T120000
DTSTAMP:20260425T074735
CREATED:20201120T045532Z
LAST-MODIFIED:20210430T041419Z
UID:216-1620903600-1620907200@ccg.ibs.re.kr
SUMMARY:Jeong-Seop Kim\, Stability of Symmetric Powers of Vector Bundles on a Curve
DESCRIPTION:     Speaker\n\n\nJeong-Seop Kim\nKAIST\n\n\n\n\n\nFor a stable vector bundle E on a smooth projective curve\, it is known that the symmetric powers Sk E are semi-stable and are stable for all k > 0 in sufficiently general. Moreover\, if E has rank 2\, then Sk E is destabilized by a line subbundle if and only if the ruled surface PC(E) admits a k-section of zero self-intersection. In this talk\, concentrating on the case of rank 2\, we will find answers to the questions of which E has strictly semi-stable Sk E\, and how many such E there are. Also\, we will introduce relations between such E and the orthogonal bundles when k = 2\, and Nori’s finite bundles when k ≥ 3.
URL:https://ccg.ibs.re.kr/event/2020-12-17/
LOCATION:B266\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
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