(COW SEMINAR) Higgs bundles and determinant divisors

11 July 2016
Nigel Hitchin

Following an idea of Gaiotto, a symplectic representation of a complex Lie group G defines a complex Lagrangian subvariety inside the moduli space of G-Higgs bundles. The talk will discuss the case of G=SL(2) and its link with determinant  divisors, or equivalently Brill-Noether loci, in the moduli space of semistable SL(2)-bundles. 

  • Algebraic and Symplectic Geometry Seminar