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Special loci of moduli of local systems

Helene Esnault (Freie Univ. Berlin and IAS)

Location:  Room 705
Date & time: Friday, 31 January 2020 at 4:00PM - 5:00PM

Abstract: The character variety of a smooth projective complex variety parametrized isomorphism classes of irreducible complex local systems. There are special subloci, the study of which was started by Carlos Simpson at the beginning of the 90s. He predicted that the more special, the more geometric. We’ll give an overview of some theorems one can prove, using in particular  the pendant of the construction over finite fields and the Langlands program, notably for rigid local systems.