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Math-Physics Joint Seminar

Thursday, March 30, 2017 - 4:30pm

Ugo Bruzzo

Penn and Sissa


University of Pennsylvania


Relying on a notion of "numerical effectiveness'' for Higgs bundles, we show that the category of "numerically flat'' Higgs vector bundles on a smooth projective variety X is a Tannakian category. We introduce the associated group scheme, that we call the ``Higgs fundamental group scheme of X,'' and show that its properties are related to a conjecture about the vanishing of the Chern classes of numerically flat Higgs vector bundles.

Slides from the talk.