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The CR Neumann problem on the domain in S^3 bounded by the Clifford torus
Mathematical Physics Seminar| Speaker: | Eric Chen, Berkeley |
| Related Webpage: | TBA |
| Location: | 3024 QMAP |
| Start time: | Mon, Mar 4 2024, 3:00PM |
I will discuss the existence of smooth solutions to the Neumann problem associated with the elliptic CR Yamabe operator on the domain of S^3 bounded by the Clifford torus, via the study of a suitable single layer potential. This is motivated by the CR analogue of the Escobar–Yamabe problem, which asks for a conformal deformation of a given Riemannian metric on a manifold with boundary to a metric with vanishing scalar curvature and constant mean curvature boundary, and I will describe the connections of our results to this problem. This is joint work with Jeffrey Case, Yi Wang, Paul Yang, and Po-Lam Yung.
TBA