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Complex Analysis, Dynamics and Geometry Seminar

The Geometry of Marked Cycles
Monday, September 26, 2022
4:00-5:00 PM
3096 East Hall Map
Discrete time dynamical systems can often be understood by studying their periodic orbits. By marking such a periodic orbit on an algebraic family of holomorphic functions, one obtains a branched cover whose geometry reflects the interactions between the various n-cycles arising in the family. We describe an algorithm to compute this branched cover for n-cycles under quadratic polynomials, along with partial results and generalizations to other families. Speaker(s): Danny Stoll (U(M))
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics