Intersection cohomology of moduli spaces of vector bundles

The study of the intersection cohomology of GIT quotients goes back to the works of Frances Kirwan in the 80’s. In joint work with Camilla Felisetti and Olga Trapeznikova,

I found a novel method of calculation of the intersection cohomologies of the moduli spaces of vector bundles on Riemann surfaces. In the talk, I will give a leisurely introduction to these results.