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Tannakian categories, fundamental groups and Higgs bundles
Bruzzo, Ugo
2018
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e-ISSN
2464-8728
Abstract
After recalling the basic notions concerning pro nite and
proalgebraic group completions and Tannakian categories, we review
how the latter can be used to de ne generalizations of the notion of
fundamental group of a space, such as the Nori and Langer fundamental
groups, and the algebraic fundamental group introduced by Simpson.
Then we discuss how one can de ne a Tannakian category whose objects
are Higgs bundles on a complex projective variety that are \numerically
at" in a suitable sense, and show how the Higgs fundamental group is
related to a conjecture about semistable Higgs bundles.
Publisher
EUT Edizioni Università di Trieste
Source
Ugo Bruzzo, "Tannakian categories, fundamental groups and Higgs bundles", in: "Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics vol. 50 (2018)", Trieste, EUT Edizioni Università di Trieste, 2018, pp. 149-159
Languages
it
Rights
Attribution-NonCommercial-NoDerivatives 4.0 Internazionale
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