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DTSTART;TZID=America/New_York:20260423T133000
DTEND;TZID=America/New_York:20260423T143000
DTSTAMP:20260505T122353
CREATED:20260128T184941Z
LAST-MODIFIED:20260421T144522Z
UID:10003884-1776951000-1776954600@cmsa.fas.harvard.edu
SUMMARY:Boundedness for K-trivial varieties with fibrations
DESCRIPTION:Differential Geometry and Physics Seminar  \nSpeaker: François Greer\, MSU \nTitle: Boundedness for K-trivial varieties with fibrations \nAbstract: According to the Beauville-Bogomolov decomposition theorem\, any smooth K-trivial variety admits a finite cover by a product of (1) abelian varieties\, (2) strict Calabi-Yau varieties\, and (3) irreducible holomorphic symplectic varieties (IHSV). In a fixed dimension\, all abelian varieties are diffeomorphic\, and indeed deformation equivalent through non-algebraic complex tori. The corresponding question remains largely open for cases (2) and (3). If we assume that a variety of class (2) or (3) admits a non-trivial fibration structure\, then much more can be shown. In particular\, fibered Calabi-Yau threefolds have bounded moduli problem\, and IHSV of a fixed dimension with a Lagrangian fibration have bounded moduli. This is based on joint work with Engel\, Filipazzi\, Mauri\, and Svaldi. \n\n  \n 
URL:https://cmsa.fas.harvard.edu/event/dgphys_42326/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Differential Geometry and Physics Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/DG-Physics-Seminar-4.23.26.docx.png
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