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X-WR-CALDESC:Events for Center for Complex Geometry
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TZID:Asia/Seoul
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DTSTART:20240101T000000
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BEGIN:VEVENT
DTSTART;VALUE=DATE:20250301
DTEND;VALUE=DATE:20260216
DTSTAMP:20260415T201653
CREATED:20250304T080834Z
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SUMMARY:Ngoc Cuong Nguyen (KAIST)
DESCRIPTION:Ngoc Cuong Nguyen\nVisitor (2025.3.1-2026.2.15) from KAIST\nOffice: B248
URL:https://ccg.ibs.re.kr/event/250301-260215/
CATEGORIES:Visitors
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BEGIN:VEVENT
DTSTART;VALUE=DATE:20250326
DTEND;VALUE=DATE:20250503
DTSTAMP:20260415T201653
CREATED:20250402T020950Z
LAST-MODIFIED:20250402T020950Z
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SUMMARY:Mihai Paun (Universität Bayreuth)
DESCRIPTION:Mihai Paun\nVisitor (2025.3.26-2025.5.2) from Universität Bayreuth\nOffice: B249
URL:https://ccg.ibs.re.kr/event/250326-250502/
CATEGORIES:Visitors
ATTACH;FMTTYPE=image/jpeg:https://ccg.ibs.re.kr/wp-content/uploads/2022/09/mpaun-1-e1743559781998.jpg
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DTSTART;TZID=Asia/Seoul:20250409T140000
DTEND;TZID=Asia/Seoul:20250409T150000
DTSTAMP:20260415T201653
CREATED:20250318T132054Z
LAST-MODIFIED:20250318T132212Z
UID:3711-1744207200-1744210800@ccg.ibs.re.kr
SUMMARY:Thibaut Delcroix\, Weighted Kähler geometry and semisimple principal fibrations (Lecture IV)
DESCRIPTION:    Speaker\n\n\nThibaut Delcroix\nUniversité de Montpellier\n\n\n\n\n\n\nIn Kähler geometry\, especially in the questions of existence of canonical Kähler metrics\, the volume form ωn associated with a Kähler form ω plays a central role. In weighted Kähler geometry\, we consider a Kähler manifold X equipped with a Hamiltonian action of a torus T\, a moment map μ and associated moment polytope Δ=μ(X). We fix a weight function v:Δ → (0\,+∞)\, then replace the volume form ωn by v ◦ μ ωn. One can then define new canonical Kähler metrics: weighted solitons and weighted cscK metrics (introduced by Lahdili)\, which include most classical canonical Kähler metrics. \nI will first introduce this weighted setting\, then the (analytic) weighted delta invariant\, a number that encodes the existence of weighted solitons. I will then present a sufficient condition of existence of weighted cscK metrics\, in line with the J-flow approach of Song-Weinkove. Then I will focus on the semisimple principal fibration cosntruction\, a construction of varieties from a principal torus bundle and a fiber. The link with weighted Kähler geometry is that\, under assumptions on the principal bundle\, the Kähler geometry of the total space reduces to the weighted Kähler geometry of the fiber.
URL:https://ccg.ibs.re.kr/event/2025-0409/
LOCATION:B236-1\, IBS\, Korea\, Republic of
CATEGORIES:Algebraic Geometry Seminar
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