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Geometry & Topology Seminar

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.

Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 15 Jul 2024