AbstractThis talk gives an introduction to the Stokes phenomenon of the universal guantum linearordinary diferential equations at a k-th order pole. lt then proves that the quantum Stokes matricesgive rise to an associative algebra, that guantize the Poisson structure on the moduli space ofmeromorphic connections at a k-th order pole. in the case k=2. the associative algebra involved isthe Drin...
Abstract:we (try to) give a friendly guide for shearing between hyperbolic surfaces in as ``efficient" a manner as possible. On the way, we'll see Teichmueller spaces, Thurston's earthquake theorem, and a novel metric on Teichmueller space called the earthquake metric which has surprising connections to both the Thurston metric and the Weil-Petersson metric. This is work in collaboration with K...