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DTSTART:20220101T000000
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BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20230228T100000
DTEND;TZID=Asia/Seoul:20230228T105000
DTSTAMP:20260526T031205
CREATED:20230212T131517Z
LAST-MODIFIED:20230212T131517Z
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SUMMARY:Dongsoo Shin\, Deformations of Sandwiched Surface Singularities and the Minimal Model Program
DESCRIPTION:     Speaker\n\n\nDongsoo Shin\nChungnam National U.\n\n\n\n\n\n\n(This is a part of Seminars on Algebraic Surfaces and Related Topics.) \nWe investigate the correspondence between three theories of deformations of rational surface singularities: de Jong and van Straten’s picture deformations\, Kollár’s P-resolutions\, and Pinkham’s smoothings of negative weights. We provide an explicit method for obtaining\, from a given deformation in one theory\, deformations in other theories that parameterize the same irreducible components of the deformation space of the singularity. We employ the semi-stable minimal model program significantly for this purpose. We prove Kollár conjecture for various sandwiched surface singularities as an application. This is a joint work with Heesang Park.
URL:https://ccg.ibs.re.kr/event/2023-02-28-1000-1050/
LOCATION:B236-1\, IBS\, Korea\, Republic of
CATEGORIES:Algebraic Geometry Seminar
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BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20230228T111000
DTEND;TZID=Asia/Seoul:20230228T120000
DTSTAMP:20260526T031205
CREATED:20230212T131702Z
LAST-MODIFIED:20230213T043948Z
UID:2071-1677582600-1677585600@ccg.ibs.re.kr
SUMMARY:JongHae Keum\, Mori Dream Surfaces of General Type with pg=0
DESCRIPTION:     Speaker\n\n\nJongHae Keum\nKIAS\n\n\n\n\n\n\n(This is a part of Seminars on Algebraic Surfaces and Related Topics.) \nThe Cox ring of a variety is the total coordinate ring\, i.e.\, the direct sum of all spaces of global sections of all divisors. When this ring is finitely generated\, the variety is called Mori dream (MD). A necessary condition for being MD is the finite generatedness of Pic(X)\, i.e.\, the vanishing of the irregularity. Smooth rational surfaces with big anticanonical divisor are MD. So are all del Pezzo surfaces of any degree. A K3 surface or an Enriques surface with Picard number at least 3 is MD iff its automorphism group is finite. \nIn this talk I will consider the case of surfaces of general type with pg=0\, and provide several examples that are MD. I will also provide non-minimal examples that are not MD. This is a joint work with Kyoung-Seog Lee.
URL:https://ccg.ibs.re.kr/event/2023-02-28-1110-1200/
LOCATION:B236-1\, IBS\, Korea\, Republic of
CATEGORIES:Algebraic Geometry Seminar
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