Polyhedra, Hyperbolic 3-Manifolds, and Arithmetic

Explore the fascinating intersection of geometry and number theory in this 45-minute lecture by Alex Kontorovich from the Institute for Advanced Study. Part of the Joint Princeton University/IAS Number Theory series, this talk examines Thurston's construction that assigns hyperbolic 3-manifolds to polyhedra, with a focus on determining which of these manifolds possess arithmetic properties. Attend to learn about ongoing research addressing this fundamental question in geometric topology and number theory, scheduled for March 13, 2025, at 3:30pm in Simonyi 101 (with remote access available).