New geometric applications of Grothendieck-Springer resolutions

Let G be a complex semisimple group with Lie algebra g. Grothendieck-Springer resolutions are distinguished vector bundles over partial flag varieties of G. Each turns out to be an algebraic Poisson variety with a Hamiltonian action of G. The associated moment map to g can be regarded as a "partial resolution" of the Lie-Poisson structure. I will give a Lie-theoretic introduction to Grothendieck-Springer resolutions and their algebro-geometric features. All of the above-mentioned concepts will be defined in this process.  Particular attention will be paid to Grothendieck-Springer resolutions in Lie type A, and examples will be interspersed throughout the presentation. If time permits, I will outline joint work with Mayrand on new applications to topological quantum field theories.