Survey on special subloci of the moduli spaces of local systems on complex varieties
H\'el\`ene Esnault
TL;DR
This paper surveys recent results on special subloci within the Betti moduli space of irreducible complex local systems on complex varieties, highlighting advances made with collaborators.
Contribution
It provides an overview of new findings related to the structure and properties of special subloci in the Betti moduli space, based on recent collaborative research.
Findings
Identification of new properties of special subloci
Connections between local systems and geometric structures
Advances in understanding the topology of moduli spaces
Abstract
It is a short report for the ICCM2019 Proceedings on recent results obtained with Michael Groechenig and Moritz Kerz concerning special subloci of the Betti moduli space of irreducible complex local systems on complex varieties.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Commutative Algebra and Its Applications