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DTSTART;TZID=America/New_York:20261015T163000
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UID:10004023-1792081800-1792085400@cmsa.fas.harvard.edu
SUMMARY:A tale of two Lie groups
DESCRIPTION:Geometry and Mathematical Physics Seminar \nSpeaker: Spiro Karigiannis\, University of Waterloo \nTitle: A tale of two Lie groups \nAbstract: The classical Lie group SO(4) is well-known to possess a very rich structure\, relating in several ways to complex Euclidean spaces. This structure can be used to construct the classical twistor space Z over an oriented Riemannian 4-manifold M\, which is a 6-dimensional almost Hermitian manifold. Special geometric properties of Z are then related to the curvature of M\, an example of which is the celebrated Atiyah-Hitchin-Singer Theorem. The Lie group Spin(7) is a particular subgroup of SO(8) determined by a special 4-form. Inriguingly\, Spin(7) has several properties relating to complex Euclidean spaces which are direct analogues of SO(4) properties\, but sadly (or interestingly\, depending on your point of view) not all of them. I will give a leisurely introduction to both groups in parallel\, emphasizing the similarities and differences\, and show how we can nevertheless at least partially succeed in constructing a “twistor space” over an 8-dimensional manifold equipped with a torsion-free Spin(7)-structure. (I will define what those are.) This is joint work with Michael Albanese\, Lucía Martín-Merchán\, and Aleksandar Milivojevic. \n  \n 
URL:https://cmsa.fas.harvard.edu/event/dgphys_101526/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Geometry and Mathematical Physics Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/2026/07/CMSA-Geometry-Math-Physics-Seminar-10.15.26.docx-scaled.png
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DTSTART;TZID=America/New_York:20261022T163000
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DTSTAMP:20260804T150720Z
CREATED:20260729T200102Z
LAST-MODIFIED:20260804T150720Z
UID:10004024-1792686600-1792690200@cmsa.fas.harvard.edu
SUMMARY:Geometry and Mathematical Physics Seminar
DESCRIPTION:Geometry and Mathematical Physics Seminar \n 
URL:https://cmsa.fas.harvard.edu/event/dgphys_102226/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Geometry and Mathematical Physics Seminar
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DTSTART;TZID=America/New_York:20261029T163000
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DTSTAMP:20261005T142823Z
CREATED:20260729T200128Z
LAST-MODIFIED:20261005T142823Z
UID:10004025-1793291400-1793295000@cmsa.fas.harvard.edu
SUMMARY:Geometry and Mathematical Physics Seminar
DESCRIPTION:Geometry and Mathematical Physics Seminar \nSpeaker: Elliott Gesteau (MIT & CMSA) \n 
URL:https://cmsa.fas.harvard.edu/event/dgphys_102926/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Geometry and Mathematical Physics Seminar
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