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CRash CouRse in CR Geometry

Graduate Faculty Seminar
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Monday, October 26, 2020
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4:30 pm - 5:30 pm
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Curtis Porter
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Graduate Faculty Seminar

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.

Contact: Aygul Yuqing