KolloquiumGRK Homogeneous G-structures |  |
Speaker:Luca Vitagliano, University of Salerno
Location:Mathematisches Institut, Bunsenstr 3-5SitzungszimmerZoom: https://uni-goettingen.zoom.us/j/91336854872 Live Stream: http://streaming.math.uni-goettingen.de/Gras Geo Map
Organizer:Fakultät für Mathematik und Informatik
Details:
G-structures unify several interesting geometries including: almost complex, Riemannian, almost symplectic geometry, etc., the integrable versions of which being complex, flat Riemannian, symplectic geometry, etc. Contact manifolds are odd dimensional analogues of symplectic manifolds but, despite this, there is no natural way to understand them as manifolds with an ordinary integrable G-structure. In this talk, we present a possible solution to this discrepancy. Our proposal is based on a new notion of homogeneous G-structures. Interestingly, besides contact, the latter include other nice (old and new) geometries including: cosymplectic, almost contact, and a curious “homogeneous version” of Riemannian geometry. This is joint work with A. G. Tortorella and O. Yudilevich.
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Type:Colloquium
Language:English
Category:Research
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Direct link to event:https://events.goettingen-campus.de/event?eventId=28569
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