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Geometric analysis seminar


University of Oregon Geometric Analysis Seminar. Tuesdays at 11:00 in 260 Tykeson

Title: Wild Nonabelian Hodge Theory

Abstract:

Classical Hodge theory can be interpreted as a result of U(1)-gauge theory or abelian gauge theory. Nonabelian Hodge theory extends this framework to the nonabelian setting, where connections and Higgs fields on complex vector bundles play a central role. In particular, wild nonabelian Hodge theory, which involves general meromorphic connections and Higgs fields, has attracted increasing interest in recent years. In 2004, Olivier Biquard and Philip Boalch provided an analytic construction of the moduli space of such objects under a certain technical assumption. In this talk, we discuss the analytic challenges involved in relaxing this assumption and examine the specific case of rank two in detail.

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Previous Quarters Geometric Analysis Seminars

Winter 2014

Pacific Northwest Geometry Seminar

PNGS

Spring, 2014, Eugene OR