Infinite-Dimensional Algebra Seminar: Andras Szenes (University of Geneva)

Building 2, Room 449

Special Seminar. Please note start time and room location.Speaker: Andras Szenes (University of Geneva)Where: In-Person at MIT Room 2-449 and onZoom https://mit.zoom.us/j/94469771032?pwd=d3JaSVhVV0xDOGpkUDdveXdOYmNXQT09Title: The intersection cohomology of the moduli spaces of semistable bundles on Riemann surfacesAbstract: The calculation of the intersection cohomology of the moduli spaces of semistable bundles on Riemann surfaces goes back to the works of Frances Kirwan in the 1980’s. I will present a simple description of these cohomology groups in any rank, obtained as a component of the Decomposition Theorem applied to the parabolic projection map. This result was obtained in joint work with Camilla Felisetti and Olga Trapeznikova. It was in part motivated by the works of Mozgovoy and Reineke.