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Fock bundles and the Hitchin component

  • Alexander Thomas (Ruprecht-Karls-Universität Heidelberg)
E2 10 (Leon-Lichtenstein)

Abstract

The study of surface group representations into a Lie group is described by the character variety. I shall present a new approach to study character varieties, by so-called Fock bundles. Although similar to Higgs bundles, the new theory does not need a complex structure on the underlying surface. A Fock bundle induces a higher complex structure and gives a connection between these geometric structures and the Hitchin component. Joint work with Georgios Kydonakis and Charlie Reid.

Antje Vandenberg

MPI for Mathematics in the Sciences Contact via Mail

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