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Presented By: Department of Mathematics

Complex Analysis, Dynamics and Geometry

Postcritically Finite Maps, Lattes Maps, and Symmetrization in P^k

(joint with Thomas Gauthier) We discuss various types of postcritically finite maps of P^k and present examples of each type. Symmetric products have been used to produce examples of endomorphisms of P^k with certain characteristics. We use them in this talk to produce endomorphisms of P^k that are strongly postcritically finite. We also use them to characterize families of Lattes maps. Speaker(s): Scott Kaschner (Butler University)

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