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DMS Research Seminar: Flows on irreducible parabolic geometries March 05, 2015 (10:00 AM PST - 12:30 PM PST)
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Location: MSRI: Simons Auditorium
Speaker(s) Karin Melnick (University of Maryland)
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Irreducible parabolic geometries are a family of geometric structures including conformal semi-Riemannian structures, projective structures, and many more.  Automorphisms of these structures need not be linearizable around a fixed point, in contrast to semi-Riemannian isometries or affine transformations of a connection.  I will present rigidity theorems for structures of this type admitting special nonlinearizable flows by automorphisms.  A consequence will be that in many cases, if the geometry is not flat---that is, not locally equivalent to the homogeneous model---then automorphisms are determined by their 1-jet at a point.

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