PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Dmitri Burago, Anatole Katok.

Title:One-dimensional polynomial maps, periodic points and multipliers
Seminar:Center for Dynamics and Geometry Seminars
Speaker:Yuri Zarhin, Penn State
Abstract:
Let $z -> g(z)$ be a polynomial degree $n$ map that has the maximal possible number of points of period $r$. Viewing the periodic points as locally defined holomorphic functions in the coefficients of $g(z)$, we discuss the rank of a map that assigns to these points the corresponding multipliers. In particular, we give a partial answer to a question of Yu.S. Ilyashenko.

Room Reservation Information

Room Number:MB106
Date:02 / 14 / 2011
Time:03:35pm - 05:30pm