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DTSTART;VALUE=DATE:20250301
DTEND;VALUE=DATE:20260216
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SUMMARY:Ngoc Cuong Nguyen (KAIST)
DESCRIPTION:Ngoc Cuong Nguyen\nVisitor (2025.3.1-2026.2.15) from KAIST\nOffice: B248
URL:https://ccg.ibs.re.kr/event/250301-260215/
CATEGORIES:Visitors
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BEGIN:VEVENT
DTSTART;VALUE=DATE:20250326
DTEND;VALUE=DATE:20250503
DTSTAMP:20260415T184305
CREATED:20250402T020950Z
LAST-MODIFIED:20250402T020950Z
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SUMMARY:Mihai Paun (Universität Bayreuth)
DESCRIPTION:Mihai Paun\nVisitor (2025.3.26-2025.5.2) from Universität Bayreuth\nOffice: B249
URL:https://ccg.ibs.re.kr/event/250326-250502/
CATEGORIES:Visitors
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DTSTART;TZID=Asia/Seoul:20250403T110000
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CREATED:20250304T060837Z
LAST-MODIFIED:20250313T070340Z
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SUMMARY:Jinhyung Park\, Effective gonality theorem on weight-one syzygies of algebraic curves
DESCRIPTION:    Speaker\n\n\nJinhyung Park\nKAIST\n\n\n\n\n\n\nIn 1986\, Green-Lazarsfeld raised the gonality conjecture asserting that the gonality gon(C) of a smooth projective curve C of genus g can be read off from weight-one syzygies of a sufficiently positive line bundle L\, and also proposed possible least degree of L\, that is 2g+gon(C)-1. In 2015\, Ein-Lazarsfeld proved the conjecture when deg(L) is sufficiently large\, but the effective part of the conjecture remained widely open and was reformulated explicitly by Farkas-Kemeny a few years ago. We show an effective vanishing theorem for weight-one syzygies\, which implies that the gonality conjecture holds if deg(L) is at least 2g+gon(C) or equal to 2g+gon(C)-1 and C is not a plane curve. As Castryck observed that the gonality conjecture may not hold for a plane curve when deg(L)=2g+gon(C)-1\, this result is the best possible and thus gives a complete answer to the gonality conjecture. This is joint work with Wenbo Niu.
URL:https://ccg.ibs.re.kr/event/2025-0403/
LOCATION:B236-1\, IBS\, Korea\, Republic of
CATEGORIES:Algebraic Geometry Seminar
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