Speaker: Anindya Chanda
Date: September 07, 2023
Affiliation: TIFR, Mumbai

Abstract: A flow on a manifold is called quasigeodesic if the flowlines are globally length minimizing up to some bounded errors when lifted to the universal cover. This area of study was initiated from the pioneering paper `Group Invariant Peano Curves' by Cannon and Thurston. The quasigeodesic behavior of flowlines is a very strong property as it bridges the dynamics of the flow and the large-scale geometry of manifolds, especially when the flow is Anosov or pseudo-Anosov. But in general, it is not easy to determine if a given flow is quasigeodesic. In this talk, we will introduce Anosov flows and present A new class of examples of Quasigeodesic Anosov flows in dimension three. This is a joint work with Sergio Fenley.