Yangians, quantum loop algebras and elliptic quantum groups

I will talk about an ongoing project with Sachin Gautamaimed at computing the monodromy of differential anddifference equations associated to Yangians. As corollaries,one obtains a meromorphic braided tensor equivalencebetween finite-dimensional representations of Yangiansand quantum loop algebras, as well as a classification offinite-dimensional representations of elliptic quantumgroups.