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Critical values of inner functions

Time Wednesday 1 December, 2021 at 15:15 - 16:00
Place Zoom

Abstract: An inner function is a holomorphic self-map of the unit disk such that for almost every theta in [0,2\pi), the radial limit of F(re^{i\theta}) exists and has absolute value 1. Inner functions have traditionally been studied in terms of their zeros. This approach leads to Beurling's invariant subspace theorem, which is one of the cornerstones of modern function theory. One can also study inner functions in terms of their critical points. In this talk, we will take a third route and study inner functions from the perspective of their critical values.

Contact Antti Perälä to receive the Zoom link.

Event type: Seminar

Speaker: Oleg Ivrii, Tel Aviv University

Antti Perälä
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