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)