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CR geometry and ACH-Einstein metrics
Mathematical Physics Seminar| Speaker: | Yoshihiko Matsumoto, Osaka |
| Location: | 2112 MSB |
| Start time: | Fri, Apr 13 2018, 12:10PM |
There is a parallelism between conformal and CR (Cauchy-Riemann) geometries. I will discuss the role played by Einstein ACH (asymptotically complex hyperbolic) metrics in CR geometry, which can be compared to that played by Poincaré-Einstein metrics in conformal geometry. I will describe some invariant constructions in CR geometry using the formal asymptotics of such metrics, and will also talk about the existence problem on globally-defined Einstein ACH metrics.