Equivalence problem of CR real hypersurfaces with uniform Levi rank: the degenerate case
Date/Time:25 Sep 2019 16:00Venue: S17 #06-11Speaker: Foo Wei Guo, Chinese Academy of SciencesEquivalence problem of CR real hypersurfaces with uniform Levi rank: the degenerate caseIn this talk, we discuss about the Cartan’s equivalence problem of 5-dimensional CR real hypersurfaces of constant Levi rank 1, and which are 2-non-degenerate. An important homogeneous model is the tube over the future light cone which has 10 dimensional Lie algebra of infinitesimal CR automorphisms, isomorphic to so(3,2). In 2015, Samuel Pocchiola in his joint work with Joel Merker produced 2 primary invariants which characterise such a homogeneous model. If time permits, we might discuss about the geometry of PDE for this problem which has relation to third order ODE and the Einstein-Weyl geometry.Add to calendar: