Pure Mathematics special colloquium

Wednesday, November 12, 2014 4:00 pm - 4:00 pm EST (GMT -05:00)

Patrick Ingram, University of Colorado

"The arithmetic of postcritically finite maps"

Arithmetic dynamics is the study of the overlap between arithmetic geometry and dynamical systems. One should hope, however, that the tools developed would prove useful in the union of these two subjects, rather than just their intersection. In this talk I will use recent work on postcritically finite endomorphisms of projective space as a vehicle to indicate how tools from (and analogies with) arithmetic geometry might help to answer question in complex holomorphic dynamics.