Speaker : Dr. Taiji Marugame (Academia Sinica)
Title : Construction of global CR invariants via Cheng-Yau metric
Time : 2017-06-07 (Wed) 11:00 - 12:30
Place : Room 202, Astro-Math. Building
Abstract: Strictly pseudoconvex domains in a Stein manifold admit a complete Kahler-Einstein metric called the Cheng-Yau metric. In this talk, I present two methods of constructing global CR invariants of the boundary using this metric. The first is the renormalized Chern-Gauss-Bonnet formula, which gives a higher dimensional generalization of the Burns-Epstein invariant. The second is the renormalized volume, which is shown to agree with the integral of the CR Q-prime curvature of the boundary. The second construction is joint work with K. Hirachi and Y. Matsumoto.