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Hitchin's self-duality equation and limiting configurations

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Metric and Analytic Aspects of Moduli Spaces

We discuss a partial `differential geometric compactification of Hitchin’s Higgs moduli space by so-called limiting configurations. The first part of the talk will address their existence. The second talk deals with convergence near infinity.

The content of this talk is based on arXiv:1405.5765 and 1502.01692 [math.DG] joint with R. Mazzeo and H. Weiss.

This talk is part of the Isaac Newton Institute Seminar Series series.

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