Speaker :
 Dr. Taiji Marugame (Academia Sinica) 
Title :

Construction of global CR invariants via ChengYau metric 
Time :
 20170607 (Wed) 11:00  12:30 
Place : 
Room 202, AstroMath. Building 
Abstract: 
Strictly pseudoconvex domains in a Stein manifold admit a complete KahlerEinstein metric called the ChengYau metric. In this talk, I present two methods of constructing global CR invariants of the boundary using this metric. The first is the renormalized ChernGaussBonnet formula, which gives a higher dimensional generalization of the BurnsEpstein invariant. The second is the renormalized volume, which is shown to agree with the integral of the CR Qprime curvature of the boundary. The second construction is joint work with K. Hirachi and Y. Matsumoto. 