Differential Geometry Working Seminar

Wednesday, June 24, 2026 2:00 pm - 3:30 pm EDT (GMT -04:00)

Kaleb Ruscitti, University of Waterloo

Extending Hitchin's connection across nodal curves

Hitchin gave a projectively flat connection on the 'Verlinde bundle' over the moduli space of complex structures on a compact genusĀ \(g>=2\) surface (Flat connections and geometric quantization, 1990). Such a surface can be deformed to a stable curve with nodal singularities, and I will discuss the extension of the Verlinde bundle and Hitchin's connection across such deformations.

MC 4058