Yifan Chen: Singular Calabi-Yau metrics with complete ends

Speaker
Yifan Chen, University of Roma Tor Vergata

Abstract
After Yau’s solution to the Calabi conjecture via the Monge–Ampere equation, there has been extensive work on weak solutions in various degenerate settings, as well as in the complete non-compact setting. In this talk, we will discuss the interplay between these two directions and present an existence result for solutions to the Monge–Ampere equation on non-compact klt spaces with compact singularities, under suitable conditions at infinity. This is based on an ongoing joint work with Chung-Ming Pan.