seminar: Stable curves for semi-parabolic and saddle fixed points

speaker: Tetsuo Ueda (Kyoto University, Department of Mathematics)

abstract: We will first discuss about families of local holomorphic maps in one variable with attractingparabolic fixed point. We show that the Fatou coordinate for a parabolic fixed point is obtained as a limit of (modified) solition of Schroeder equation for attracting fixed points. This result is generalized to the case of two variables. The stable curve for semi-parabolic fixed point is obtained as a limit of the stable curves for saddle fixed point.

timetable:
Wed 24 Jan, 9:00 - 10:00, Aula Dini
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