The Trefoil Knot, SL_2(Z) and Modular Forms -- Maksim Lipyanskiy

The goal of this talk is to demonstrate the unity of mathematics by describing a relationship (due to Dan Quillen) between the complement of the trefoil, the space of lattices and the theory of elliptic functions.
Along the way, we will meet conformal structures on tori, orbifolds and the most famous picture in mathematics.