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DTSTART;TZID=America/New_York:20211013T030000
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DTSTAMP:20260519T202645
CREATED:20240213T113713Z
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UID:10002509-1634094000-1634097600@cmsa.fas.harvard.edu
SUMMARY:Some remarks on contact Calabi-Yau 7-manifolds
DESCRIPTION:Abstract: In geometry and physics it has proved useful to relate G2 and Calabi-Yau geometry via circle bundles. Contact Calabi-Yau 7-manifolds are\, in the simplest cases\, such circle bundles over Calabi-Yau 3-orbifolds. These 7-manifolds provide testing grounds for the study of geometric flows which seek to find torsion-free G2-structures (and thus Ricci flat metrics with exceptional holonomy). They also give useful backgrounds to examine the heterotic G2 system (also known as the G2-Hull-Strominger system)\, which is a coupled set of PDEs arising from physics that involves the G2-structure and gauge theory on the 7-manifold. I will report on recent progress on both of these directions in the study of contact Calabi-Yau 7-manifolds\, which is joint work with H. Sá Earp and J. Saavedra.
URL:https://cmsa.fas.harvard.edu/event/10-13-2021-joint-harvard-cuhk-ymsc-differential-geometry-seminar/
CATEGORIES:Joint Harvard-CUHK-YMSC Differential Geometry
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DTSTART;TZID=America/New_York:20211005T083000
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CREATED:20240213T111744Z
LAST-MODIFIED:20240304T104852Z
UID:10002487-1633422600-1633426200@cmsa.fas.harvard.edu
SUMMARY:Angular momentum in general relativity
DESCRIPTION:Abstract: The definition of angular momentum in general relativity has been a subtle issue since the 1960′\, due to the discovery of “supertranslation ambiguity”: the angular momentums recorded by two distant observers of the same system may not be the same. In this talk\, I shall show how the mathematical theory of optimal isometric embedding and quasilocal angular momentum identifies a correction term\, and leads to a new definition of angular momentum that is free of any supertranslation ambiguity. This is based on joint work with Po-Ning Chen\, Jordan Keller\, Ye-Kai Wang\, and Shing-Tung Yau.
URL:https://cmsa.fas.harvard.edu/event/10-5-2021-joint-harvard-cuhk-ymsc-differential-geometry-seminar/
CATEGORIES:Joint Harvard-CUHK-YMSC Differential Geometry
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