Affine Normal Flow of Higher order Bergman functions and classification of domains in strongly pseudoconvex variety


Stephen S-T. Yau

10:00:00 - 11:00:00

浦大邦講堂 , Institute of Atomic and Molecular Sciences, Dr. Poe Lecture Hall

In the joint work with Rong Du, we introduce higher order Bergman functions for strongly pseudoconvex domains in a variety with possibly isolated singularities. These Bergman functions are invariant under bioholomorhic maps. We use Bergman functions to determine all the bioholomorhic maps between two such domains. As a result, we can construct a complete numerical invariants for an arbitrary large family of such domains in A_1 variety.