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DTSTART:20220101T000000
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DTSTART;TZID=Asia/Seoul:20230207T110000
DTEND;TZID=Asia/Seoul:20230207T120000
DTSTAMP:20260620T071332
CREATED:20230127T104147Z
LAST-MODIFIED:20230127T104147Z
UID:2032-1675767600-1675771200@ccg.ibs.re.kr
SUMMARY:Daniele Agostini\, The Martens-Mumford Theorem and the Green-Lazarsfeld Secant Conjecture
DESCRIPTION:     Speaker\n\n\nDaniele Agostini\nEberhard Karls Universität Tübingen\n\n\n\n\n\n\nThe syzygies of a curve are the algebraic relation amongst the equation defining it. They are an algebraic concept but they have surprising applications to geometry. For example\, the Green-Lazarsfeld secant conjecture predicts that the syzygies of a curve of sufficiently high degree are controlled by its special secants. We prove this conjecture for all curves of Clifford index at least two and not bielliptic and for all line bundles of a certain degree. Our proof is based on a classic result of Martens and Mumford on Brill-Noether varieties and on a simple vanishing criterion that comes from the interpretation of syzygies through symmetric products of curves.
URL:https://ccg.ibs.re.kr/event/2023-02-07-1100-1200/
LOCATION:B266\, IBS\, Korea\, Republic of
CATEGORIES:Algebraic Geometry Seminar
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