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DTSTART;VALUE=DATE:20250301
DTEND;VALUE=DATE:20260216
DTSTAMP:20260415T134135
CREATED:20250304T080834Z
LAST-MODIFIED:20250304T081528Z
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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
ATTACH;FMTTYPE=image/jpeg:https://ccg.ibs.re.kr/wp-content/uploads/2025/03/ncnguyen_rescaled-1.jpg
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DTSTART;TZID=Asia/Seoul:20250828T150000
DTEND;TZID=Asia/Seoul:20250828T160000
DTSTAMP:20260415T134135
CREATED:20250731T053718Z
LAST-MODIFIED:20250807T081201Z
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SUMMARY:Doyoung Choi\, Singularities and syzygies of secant varieties of smooth projective varieties
DESCRIPTION:    Speaker\n\n\nDoyoung Choi\nKAIST / IBS\n\n\n\n\n\n\nWe study the higher secant varieties of a smooth projective variety embedded in projective space. We prove that when the variety is a surface and the embedding line bundle is sufficiently positive\, these varieties are normal with Du Bois singularities and the syzygies of their defining ideals are linear to the expected order. We show that the cohomology of the structure sheaf of the surface completely determines whether the singularities of its secant varieties are Cohen-Macaulay or rational. We also prove analogous results when the dimension of the original variety is higher and the secant order is low\, and by contrast we prove a result that strongly implies these statements do not generalize to higher dimensional varieties when the secant order is high. Finally\, we deduce a complementary result characterizing the ideal of secant varieties of a surface in terms of the symbolic powers of the ideal of the surface itself\, and we include a theorem concerning the weight one syzygies of an embedded surface — analogous to the gonality conjecture for curves — which we discovered as a natural application of our techniques.
URL:https://ccg.ibs.re.kr/event/2025-0828/
LOCATION:B236-1\, IBS\, Korea\, Republic of
CATEGORIES:Algebraic Geometry Seminar
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BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20250828T163000
DTEND;TZID=Asia/Seoul:20250828T173000
DTSTAMP:20260415T134135
CREATED:20250731T053916Z
LAST-MODIFIED:20250807T081139Z
UID:3975-1756398600-1756402200@ccg.ibs.re.kr
SUMMARY:Haesong Seo\, Algebraic hyperbolicity of adjoint linear systems on spherical varieties
DESCRIPTION:    Speaker\n\n\nHaesong Seo\nKAIST / IBS\n\n\n\n\n\n\nA projective manifold is called hyperbolic if it does not admit an entire map from the complex plane. Demailly proved that hyperbolic manifolds are algebraically hyperbolic\, meaning that there are degree bounds for curves in terms of their genera. It is a highly challenging problem to determine whether a given variety is algebraically hyperbolic or not. In this talk\, we prove that a very general hypersurface in an adjoint linear system on a spherical variety is algebraically hyperbolic outside the boundary. This is based on a joint work with Dr. Minseong Kwon.
URL:https://ccg.ibs.re.kr/event/2025-0828-2/
LOCATION:B236-1\, IBS\, Korea\, Republic of
CATEGORIES:Algebraic Geometry Seminar
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