Topological and Combinatorial Problems in One-dimensional Complex Dynamics
timetable:
Thu 17 Oct, 11:45 - 12:15, Aula Dini
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On the resurgent approach to local dynamics of simple parabolic germs
speaker: Artem Dudko (University of Stony Brook, Institute for Mathematical Sciences)abstract: We revisit Ecalle's resurgent approach to the construction of Fatou coordinates and Ecalle-Voronin invariants for a simple parabolic germ. We show how to present each of the Ecalle-Voronin invariants in the form of convergent numerical series. We give new self-contained proofs relying only on the ordinary Borel-Laplace summability. The talk is based on a joint work with David Sauzin.
timetable:
Thu 17 Oct, 11:45 - 12:15, Aula Dini
<< Go back