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Complex Analysis and Geometry Seminar

"On holomorphic isometries from the Poincar'e disk into bounded symmetric domains of rank at least two"

Shan-Tai Chan , Syracuse University

Location:  HILL 705
Date & time: Friday, 28 April 2017 at 10:30AM - 11:30AM

 

 
Time: 10:30 AM
Location: Hill 705
Abstract: In general, it is difficult to classify all holomorphic isometries from the unit disk into bounded symmetric domains? with respect to their Bergman metrics up to normalizing constants, especially when the target is of rank at least three. Thus, in this talk we will first consider holomorphic isometries from the Poincar'e disk into the product of the unit disk and the complex unit n-ball for n at least two with respect to certain canonical K"ahler metrics and obtain a complete characterization of all such holomorphic isometries. On the other hand, I will also talk about how our study would provide new examples of holomorphic isometries from the Poincar'e disk into irreducible bounded symmetric domains of rank at least 2 except for type-IV domains.

This is a joint work with Yuan Yuan.

 

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