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In the 25 years since their introduction, Higgs bundles have seen a
surprising number of interactions within different areas of
mathematics and physics. There is a recent surge of interest
following Ngo Bau Chau's proof of the Fundamental Lemma and the
work of Kapustin and Witten on the Geometric Langlands program. The
program on The Geometry, Topology and Physics of Moduli Spaces of
Higgs Bundles, was held at the Institute for Mathematical Sciences
at the National University of Singapore during 2014. It hosted a
number of lectures on recent topics of importance related to Higgs
bundles, and it is the purpose of this volume to collect these
lectures in a form accessible to graduate students and young
researchers interested in learning more about this field.
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