Singular fibres of the symplectic and odd orthogonal Hitchin system

Hitchin systems are algebraically completely integrable systems foliating a dense subset of Higgs bundle moduli spaces by abelian torsors. This structure played a crucial role in recent developments in the field, e. g. Langlands duality and the GMN-conjecture. In this talk, we take a closer look at degenerate fibres of the symplectic and odd orthogonal Hitchin system. We give a new approach identifying a certain class of these fibres with SL(2,C)-Hitchin fibres of twisted Higgs bundles. This allows to study these degenerated Hitchin fibres by semi-abelian spectral data - a generalisation of the abelianisation procedure for regular Hitchin fibres introducing Hecke modifications at the singularities of the spectral curve.

 

Zoom link: https://videoconf-colibri.zoom.us/j/87115597362?pwd=aVBsR3ZGWXFEaWN5a2d1bldadG9uUT09

Password: CMUP_GT

4:30 pm (WET / GMT)

 

Date and Venue

Start Date

Speaker

Johannes Horn

Speaker's Institution

Goethe-Universität Frankfurt am Main

Files

Area

Geometry and Topology

Financiamento