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PRODID:-//Center for Complex Geometry - ECPv6.15.20//NONSGML v1.0//EN
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X-WR-CALNAME:Center for Complex Geometry
X-ORIGINAL-URL:https://ccg.ibs.re.kr
X-WR-CALDESC:Events for Center for Complex Geometry
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BEGIN:VTIMEZONE
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:20260417T054256
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:20241211T160000
DTEND;TZID=Asia/Seoul:20241211T170000
DTSTAMP:20260417T054256
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
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