Sphere Packings and Arithmetic
Speaker: Alex Kontorovich, Rutgers University
Abstract: We will discuss recent work on "crystallographic" sphere packings (defined in work with Nakamura), and the subclass of "superintegral" such. (A quintessential example is the classical Apollonian Circle Packing.) These exist in finitely many dimensions, and in fact in finitely many commensurability classes in each dimension. This is a consequence of the Arithmeticity Theorem, that such packings come from arithmetic hyperbolic reflection groups.
Room Reservation Information
Room Number: 114 McAllister
Time: 3:30pm - 4:30pm