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Analysis and PDE

Analysis seminar - Anastasia Frolova

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Speaker: Anastasia Frolova (MSc student, UiB)

Title: Critical measures and quadratic differentials.

Abstract: In this talk, we will show how the theory of quadratic differentials is applicable to the problem of describing  critical measures, which provide critical points of weighted logarithmic energy on the complex plane. We will also overview the connection between critical measures and solutions to the Lamé equation. The talk is based on the master thesis of A. Frolova.