Seminar Event Detail

Complex Analysis, Dynamics and Geometry

Date:  Monday, November 15, 2021
Location:  3096 East Hall (4:00 PM to 5:00 PM)

Title:  Geometry and Degeneration of Cubic Polynomial Loci

Abstract:   While the dynamics of quadratic polynomials have been studied extensively, much remains unexplored for cubic polynomials. I will discuss the geometry and dynamics of loci of cubic polynomials defined by asserting the existence of a cycle with a given period and multiplier. As we shall see, these loci have nontrivial topology, and the corresponding maps exhibit interesting dynamics, particularly for multipliers outside the unit disk.


Speaker:  Danny Stoll
Institution:  U(M)

Event Organizer:     


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