Curtis Porter : CRash CouRse in CR Geometry
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CR geometry studies real hypersurfaces in complex vector spaces and their generalizations, CR manifolds. In many cases of interest to complex analysis and PDE, CR manifolds can be considered ``curved versions" of homogeneous spaces according to Elie Cartan’s generalization of Klein’s Erlangen program. Which homogeneous space is the ``flat model" of a CR manifold depends on the Levi form, a tensor named after a mathematician who used it to characterize boundaries of pseudoconvex domains. As in the analytic setting, the Levi form plays a central role in the geometry of CR manifolds, which we explore in relation to their homogeneous models.
- Category: Graduate/Faculty Seminar,Uploaded Videos
- Duration: 55:01
- Date: October 26, 2020 at 4:30 PM
- Tags: seminar, graduate faculty seminar seminar