香蕉视频

Title: Rigidity theorems for circle domains.

Abstract: A circle domain $\Omega$ in the Riemann sphere is a domain each of whose boundary components is either a circle or a point. A circle domain $\Omega$ is called conformally rigid if every conformal map from $\Omega$ onto another circle domain is the restriction of a Mobius transformation. In this talk I will present some new rigidity theorems for circle domains satisfying a certain quasihyperbolic condition. As a corollary, John and Holder circle domains are rigid. This provides new evidence for a conjecture of He and Schramm, relating rigidity and conformal removability. This talk is based on joint work with Malik Younsi.

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Meeting ID: 894 0055 5470

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