Orateur
Prof.
Carlos Simpson
(Université Nice-Sophia Antipolis)
Description
Donagi and Pantev set out a program for the construction of the parabolic logarithmic Higgs sheaves associated to Hecke eigensheaves in the geometric Langlands correspondence. One of the main features is that their spectral varieties over $\mathrm{Bun}_G$ are Hitchin fibers viewed birationally as subvarieties of $T^*(\mathrm{Bun}_G)$. We'll discuss various aspects of this construction: cases where it is known, the difficulties that can
arise, and relationships with the geometry of the Hitchin moduli space.
