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TZOFFSETFROM:+0900
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DTSTART:20230101T000000
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DTSTART;TZID=Asia/Seoul:20241206T160000
DTEND;TZID=Asia/Seoul:20241206T170000
DTSTAMP:20260416T071039
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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