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Explore a 1-hour 12-minute lecture from the Joint IAS/PU Groups and Dynamics Seminar where Jayadev Athreya from the University of Washington discusses linear flows on translation prisms. Delve into the study of billiards in polyhedra through the examination of linear flows in singular flat 3-manifolds. Learn how concepts from Furstenberg and Veech connect weak mixing properties of flows on translation surfaces to ergodic properties of linear flows on translation prisms, leading to discoveries about unique ergodicity of prism flows and related billiard flows. Examine the construction of explicit eigenfunctions for translation flows in pseudo-Anosov directions with Pisot expansion factors, and see how these constructions enable the development of non-ergodic prism flows and non-ergodic billiard flows in right prisms over regular n-gons for specific values of n. This talk presents joint work with Nicolas Bedaride, Pat Hooper, and Pascal Hubert, scheduled for May 13, 2025, at Simonyi 101.
