seminar: Local Dynamics of Quasi-Parabolic Germs

speaker: Feng Rong (Department of Mathematics, University of Michigan)

abstract: We study the local dynamics of quasi-parabolic germs. These are germs f at the origin O such that df_O has eigenvalues 1 and e^{2i\pi\theta_j}, with \theta_j irrational. We first show that f is holomorphically linearizable under certain conditions. We then show the existence of "parabolic curves" or "parabolic manifolds" when f has a non-degenerate characteristic direction v and f is "dynamically-separating" in the direction v.

timetable:
Tue 23 Jan, 14:40 - 15:40, Aula Dini
documents:

Feng.Rong.pdf

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