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Complex Analysis, Dynamics and Geometry Seminar

On the topology of dynamical moduli spaces of rational maps II
Tuesday, October 13, 2020
5:00-6:00 PM
virtual East Hall Map
In the first talk, I give a background on the dynamical moduli spaces M_d, i.e. the quotient of the parameter space Rat_d of degree d holomorphic self-maps of the Riemann sphere to the Mobius conjugation. This includes the work of Milnor on the moduli space M_2, the work of Segal on the topology of parameter spaces of rational maps, and certain "marked" variants of M_d. The second talk outlines a joint work with Maxime Bergeron and Sam Nariman on the topology of the moduli space M_d. We compute its Betti numbers and fundamental group. As an application, we obtain the ranks of some higher homotopy groups of the parameter space Rat_d beyond the previously known range. Speaker(s): Khashayar Filom (U(M))
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics