Resolving the rank 2 Hitchin system by compactified Jacobians of semi-stable curves

Johannes Horn (Johann Wolfgang Goethe-Universität in Frankfurt)

01-Feb-2022, 16:30-17:30 (2 years ago)

Abstract: (joint work with M. Möller) The complexity of singular fibers of the Hitchin system stems from the variety of singularities of the spectral curve. In this talk I will explain how to modify the rank 2 Hitchin base, such that the family of spectral curves can be resolved to a family of semi-stable nodal curves. This allows to extend the Hitchin system to the singular locus of the modified Hitchin base by well-understood compactified Jacobians of semi-stable curves

algebraic geometrydifferential geometrysymplectic geometry

Audience: researchers in the topic


Geometria em Lisboa (IST)

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