DnA Seminar, Scott Kaschner (University of Arizona): 'Dynamical Degrees, Invariant Foliations, and Measure of Maximal Entropy'

Tuesday, February 24, 2015
12:00 PM - 1:00 PM (ET)
ESC 638
Event Type
Academic Calendar
David Constantine, x2169
Math CS DnA Seminar

Abstract: We present a simple rational map of the complex projective plane whose first and second dynamical degrees coincide, but which does not have any invariant foliation. This answers a question posed by Guedj in 2006 and is joint work with Rodrigo Perez and Roland Roeder. Background in dynamical degrees of rational maps of two dimensional complex projective space and singular holomorphic foliations will also be presented. Using a family of maps with equal dynamical degrees and no invariant foliation, we construct a measure of maximal entropy. This is joint work with Rodrigo Perez and Roland Roeder.

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