Dynamical Systems Seminar

Title: Kummer rigidity for K3 surface automorphisms
Speaker: Valentino Tosatti
Speaker Info: Northwestern University
Brief Description:
Special Note:

Holomorphic automorphisms of K3 surfaces with interesting dynamical behavior are relatively easy to come by. In his thesis, Cantat showed that such automorphisms with positive topological entropy admit a unique measure of maximal entropy, and him and McMullen raised the question of understanding when this measure is absolutely continuous with respect to Lebesgue. More recently, Cantat-Dupont proved that for projective surfaces this happens precisely when the dynamical system is obtained by a linear automorphism of a torus via the Kummer construction. I will discuss a simpler proof of this result for K3 surfaces, which also covers the non-projective case.
Date: Tuesday, October 09, 2018
Time: 4:00pm
Where: Lunt 104
Contact Person: Laura DeMarco
Contact email: demarco@northwestern.edu
Contact Phone:
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