# Meeting Details

Title: One-dimensional polynomial maps, periodic points and multipliers Center for Dynamics and Geometry Seminars Yuri Zarhin, Penn State 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.