Yi Liu- Surface Automorphisms and Virtual Homological Eigenvalues

Explore a groundbreaking proof on the lifting of pseudo-Anosov surface automorphisms to finite covers, demonstrating how certain homological eigenvalues of the lifted automorphism can exist outside the complex unit circle. This 44-minute lecture, presented by Yi Liu for the International Mathematical Union, delves into advanced concepts in surface topology and dynamical systems. Gain insights into the intricate relationship between surface automorphisms and their homological properties on finite covers. Access the accompanying slides for visual aids and detailed mathematical formulations to enhance your understanding of this complex topic in geometric topology.