Will give a Felix Klein Seminar entitled:
Entropy of real automorphisms in K3 dynamics
Abstract: A real automorphism of a complex manifold is a holomorphic diffeomorphism preserving a real structure. I will introduce a few questions regarding how the entropy of a real automorphism is distributed between the real and complex parts of the manifold. Among compact complex surfaces, K3 surfaces are a primary type admitting automorphisms with positive entropy, and it remains open whether there exists a real automorphism of a K3 surface with all of its entropy in the real part. After surveying related results, I will discuss an example of a real automorphism of a K3 surface with more than half of its entropy in the real part.
Date: 11-06-2025
Time: 2:00 pm
Location: 125 Hayes-Healy Bldg