Topology, Algebraic Geometry, and Dynamics Seminar (TADS): Arithmeticity and commensurability of links in thickened surfaces

Speaker:  Rose Kaplan-Kelly, GMU

Title:  Arithmeticity and commensurability of links in thickened surfaces

Abstract:  In this talk, we will consider a generalization of alternating links and their complements in thickened surfaces. In particular, a family of generalized alternating links which each correspond to a Euclidean or hyperbolic tiling and admit a right-angled complete hyperbolic structure on their complement. We will give a complete characterization of which right-angled tiling links are arithmetic, and which are pairwise commensurable.  This is joint work with David Futer.

Time:  Friday, October 25, 1:30pm – 2:30pm

Place:  Exploratory Hall, room 4208