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PRODID:-//Center for Complex Geometry - ECPv6.17.3//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
TZNAME:KST
DTSTART:20250101T000000
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BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20260910T163000
DTEND;TZID=Asia/Seoul:20260910T173000
DTSTAMP:20260823T105324Z
CREATED:20260823T091829Z
LAST-MODIFIED:20260823T105324Z
UID:4710-1789057800-1789061400@ccg.ibs.re.kr
SUMMARY:KSBA moduli compactifications and weighted stable hyperplane arrangements
DESCRIPTION:    Speaker\n\n\nXian Wu\nYonsei University\n\n\n\n\n\n\nWe begin with an overview of the framework of KSBA (Kollár—Shepherd-Barron—Alexeev) moduli spaces and stable degenerations\, emphasizing some phenomena that distinguish the higher-dimensional cases from the Deligne–Mumford moduli of stable curves. We then survey several existing explicit constructions of KSBA compactifications. As a detailed example\, we discuss the construction of KSBA weighted stable hyperplane arrangements via geometric invariant theory (GIT) and matroid tilings due to Valery Alexeev. In particular\, here GIT is applied on the construction of the family/stable objects rather than on the construction of the compactified moduli space. Finally\, we discuss our ongoing joint work with Hanlong Fang\, Patricio Gallardo\, and Luca Schaffler on an explicit KSBA wall-crossing morphism to the Losev–Manin space.
URL:https://ccg.ibs.re.kr/event/ksba-moduli-compactifications-and-weighted-stable-hyperplane-arrangements/
LOCATION:B236-1\, IBS\, Korea\, Republic of
CATEGORIES:Algebraic Geometry Seminar
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