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X-WR-CALDESC:Events for Center for Complex Geometry
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TZID:Asia/Seoul
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TZOFFSETFROM:+0900
TZOFFSETTO:+0900
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DTSTART:20230101T000000
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BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20241206T160000
DTEND;TZID=Asia/Seoul:20241206T170000
DTSTAMP:20260415T184302
CREATED:20241118T133626Z
LAST-MODIFIED:20241118T133626Z
UID:3509-1733500800-1733504400@ccg.ibs.re.kr
SUMMARY:Luca Schaffler\, An Explicit Wall Crossing for the Moduli Space of Hyperplane Arrangements
DESCRIPTION:    Speaker\n\n\nLuca Schaffler\nRoma Tre University\n\n\n\n\n\n\nThe moduli space of hyperplanes in projective space has a family of geometric and modular compactifications that parametrize stable hyperplane arrangements with respect to a weight vector. Among these\, there is a toric compactification that generalizes the Losev-Manin moduli space of points on the line. We study the first natural wall crossing that modifies this compactification into a non-toric one by varying the weights. As an application of our work\, we show that any Q-factorialization of the blow up at the identity of the torus of the generalized Losev-Manin space is not a Mori dream space for a sufficiently high number of hyperplanes. Additionally\, for lines in the plane\, we provide a precise description of the wall crossing. This is joint work with Patricio Gallardo.
URL:https://ccg.ibs.re.kr/event/2024-1206/
LOCATION:B236-1\, IBS\, Korea\, Republic of
CATEGORIES:Algebraic Geometry Seminar
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BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20241211T110000
DTEND;TZID=Asia/Seoul:20241211T120000
DTSTAMP:20260415T184302
CREATED:20241119T054930Z
LAST-MODIFIED:20241119T054930Z
UID:3515-1733914800-1733918400@ccg.ibs.re.kr
SUMMARY:Yen-An Chen\, Toric Fano Foliations
DESCRIPTION:    Speaker\n\n\nYen-An Chen\nNational Taiwan University\n\n\n\n\n\n\nIn recent years\, there are significant developments of the minimal model program for foliated varieties. It is intriguing to ask if Fano foliations form a bounded family. It is anticipated that Borisov-Alexeev-Borisov conjecture also holds in the context of foliations. In this talk\, I will discuss the boundedness of the toric Fano adjoint foliated structure with mild singularities. This is a joint work in progress with Chih-Wei Chang.
URL:https://ccg.ibs.re.kr/event/2024-12-11/
LOCATION:B236-1\, IBS\, Korea\, Republic of
CATEGORIES:Algebraic Geometry Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20241211T160000
DTEND;TZID=Asia/Seoul:20241211T170000
DTSTAMP:20260415T184302
CREATED:20241118T134009Z
LAST-MODIFIED:20241118T134128Z
UID:3512-1733932800-1733936400@ccg.ibs.re.kr
SUMMARY:Luca Schaffler\, Unimodal Singularities and Boundary Divisors in the KSBA Moduli of a Class of Horikawa Surfaces
DESCRIPTION:    Speaker\n\n\nLuca Schaffler\nRoma Tre University\n\n\n\n\n\n\nSmooth minimal surfaces of general type with K2=1\, pg=2\, and q=0 constitute a fundamental example in the geography of algebraic surfaces\, and the 28-dimensional moduli space M of their canonical models admits a modular compactification M via the minimal model program. We describe eight new irreducible boundary divisors in such compactification parametrizing reducible stable surfaces. Additionally\, we study the relation with the GIT compactification of M and the Hodge theory of the degenerate surfaces that the eight divisors parametrize. Time permitting\, we will discuss recent progress aimed at generalizing these techniques to study the boundary of compact moduli of other types of stable surfaces. This is joint work with Patricio Gallardo\, Gregory Pearlstein\, and Zheng Zhang.
URL:https://ccg.ibs.re.kr/event/2024-1211/
LOCATION:B236-1\, IBS\, Korea\, Republic of
CATEGORIES:Algebraic Geometry Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20241230T103000
DTEND;TZID=Asia/Seoul:20241230T112000
DTSTAMP:20260415T184302
CREATED:20241211T050548Z
LAST-MODIFIED:20241220T005212Z
UID:3541-1735554600-1735557600@ccg.ibs.re.kr
SUMMARY:Sungmin Yoo\, Convergence of Sequences of the Bergman Type Volume Forms
DESCRIPTION:    Speaker\n\n\nSungmin Yoo\nIncheon National University\n\n\n\n\n\n\nFollowing the Yau-Tian-Donaldson conjecture\, the construction of sequences of Bergman-type metrics converging to a canonical metric on a polarized manifold has been studied by many mathematicians including Tian\, Donaldson\, Tsuji\, Berman\, Berndtsson\, and others. In this talk\, I will introduce my recent findings on the uniform convergence of Tsuji’s Bergman kernel sequence to the volume form of the Kahler-Einstein metric on a uniformly squeezing domain.
URL:https://ccg.ibs.re.kr/event/2024-1230-1030-1120/
LOCATION:B236-1\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20241230T113000
DTEND;TZID=Asia/Seoul:20241230T122000
DTSTAMP:20260415T184302
CREATED:20241211T050722Z
LAST-MODIFIED:20241217T042547Z
UID:3543-1735558200-1735561200@ccg.ibs.re.kr
SUMMARY:Yonghwa Cho\, Double Point Divisors from Projections
DESCRIPTION:    Speaker\n\n\nYonghwa Cho\nGyeongsang National University\n\n\n\n\n\n\nConsider a smooth projective variety of codimension e. A general projection from a linear subspace of dimension (e-2) is birational\, hence the non-isomorphic locus forms a proper closed subset of X. Mumford showed that this non-isomorphic locus is not merely a closed subset\, but is naturally endowed with a divisor structure. We call it a double point divisor from outer projection. In this talk I will discuss the positivity property of double point divisors including our recent proof of very ampleness\, except for some exceptional cases. This work is based on a joint work with Jinhyung Park.
URL:https://ccg.ibs.re.kr/event/2024-1230-1130-1220/
LOCATION:B236-1\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
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