Moduli spaces of vector bundles on Riemann surfaces appear in a wide range of subjects, from enumerative geometry to non-abelian gauge theory in physics. While their topology is well understood in the smooth (coprime) case, much less is known about their enumerative geometry in the singular (degree-zero) case. In this talk, I will show how a classical tool — moduli spaces of parabolic bundles — can be used to compute intersection pairings in the intersection cohomology of these singular moduli spaces, providing a direct geometric interpretation of the resulting formulas and a simpler alternative to the earlier blow-up approach. This is based on joint work with Camilla Felisetti.
Intersection theory on moduli spaces of semistable bundles on curves
09.06.2026 13:15 - 14:45
Organiser:
H. Grobner, A. Mellit, A. Minguez, B. Szendroi
Location: