Non-existence of Poincare-Einstein metrics with prescribed conformal infinity
Speaker:
Matthew Gursky, University of Notre Dame
Date and Time:
Friday, October 27, 2017 - 11:00am to 12:00pm
Location:
Fields Institute, Room 230
Abstract:
In this talk I will describe the construction of (infinitely many) conformal classes on the standard 7-dimensioanl sphere which cannot be the conformal infinity of a Poincare-Einstein metric defined on the unit 8-disk. I will then describe some ongoing work which places this construction in a more general context.
This is joint work with Q. Han and S. Stolz.