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:The moduli spaces of points on n-spheres carry natural actions of braid groups. For n=0, 1, and 3, we prove that these symmetries extend to actions of mapping class groups of certain positive genus surfaces, through exceptional isomorphisms with certain moduli of local systems. Moreover, the isomorphisms map the Coxeter invariants of points on spheres to the boundary monodromy of the ...