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Abstract: 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.
Bio: Dr. Bin Yu obtained his Ph.D. in Mathematics from Peking University in 2007 and currently serves as a professor at Tongji University. His research bridges foundational investigations in manifold structures with the classification theory of dynamical systems, specializing in geometric topology and low-dimensional dynamics.
