Anosov flows on Dehn surgeries on the figure-eight knot

In this talk, we explore the classification of three-dimensional Anosov flows, with particular focus on hyperbolic 3-manifolds arising from Dehn surgeries on the figure-eight knot. We will also discuss foundational concepts in Anosov flows, survey recent advances in understanding orbital equivalence in this geometric setting, and highlight key open problems in the field.