Filtered local systems and parabolic Higgs bundles

Botong Wang, Purdue University

Abstract

Using the result of Mochizuki which builds the one-to-one correspondence between the stable parabolic Higgs bundles of trivial characteristics and the stable filtered local systems of trivial characteristics, we generalize a result of Konno and Nakajima on the hyperkähler structure of some isomonodromy loci of the moduli space of stable parabolic Higgs bundles to higher dimensional varieties. Using the perturbation method of Mochizuki and his Bogomolov-Gieseker inequality, we can also reproof a theorem of Nori on the fundamental groups of quasi-projective varieties.

Degree

Ph.D.

Advisors

Arapura, Purdue University.

Subject Area

Applied Mathematics|Mathematics

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