Title: Convergence of complex geometric measures to non-Archimedean measures
Speaker: Sanal Shivprasad (University of Michigan)
Date: 16 March 2022
Time: 9:00 pm
Venue: Microsoft Teams (online)
We consider certain degenerating families of complex manifolds, each carrying a canonical measure (for example, the Bergman measure on a compact Riemann surface of genus at least one). We show that the measure converges, in a suitable sense, to a measure on a non-Archimedean space, in the sense of Berkovich. No knowledge of non-Archimedean geometry will be assumed.