Torelli theorems and integrable systems for parabolic Higgs bundles

1 February 2016
02:15
Marina Logares
Abstract

In the same way that the classical Torelli theorem determines a curve from its polarized Jacobian we show that moduli spaces of parabolic bundles and parabolic Higgs bundles over a compact Riemann surface X  also determine X. We make use of a theorem of Hurtubise on the geometry of algebraic completely integrable systems in the course of the proof. This is a joint work with I. Biswas and T. Gómez 

  • Geometry and Analysis Seminar