Title of Seminar: Infosys Chandrasekharan Random Geometry Colloquium
Title of Talk: Deformation space analogies between Kleinian reflection groups and rational maps
Speaker: Sabyasachi Mukherjee, TIFR
Date: February 7, 2022
Time: 16:00:00 Hours
Venue: AG-77
Abstract: We will describe an explicit correspondence between certain Kleinian reflection groups and certain anti-holomorphic rational maps acting on the Riemann sphere. This correspondence has several dynamical and parameter space consequences. To illustrate some of these, we will discuss many striking similarities between the deformation spaces of these two classes of conformal dynamical systems, including an analogue of Thurston’s compactness theorem for anti-holomorphic rational maps and relations between the global topology of the corresponding deformation spaces.
Title of Talk: Deformation space analogies between Kleinian reflection groups and rational maps
Speaker: Sabyasachi Mukherjee, TIFR
Date: February 7, 2022
Time: 16:00:00 Hours
Venue: AG-77
Abstract: We will describe an explicit correspondence between certain Kleinian reflection groups and certain anti-holomorphic rational maps acting on the Riemann sphere. This correspondence has several dynamical and parameter space consequences. To illustrate some of these, we will discuss many striking similarities between the deformation spaces of these two classes of conformal dynamical systems, including an analogue of Thurston’s compactness theorem for anti-holomorphic rational maps and relations between the global topology of the corresponding deformation spaces.