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Title:
Hyperpolygons and Hitchin systems
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Abstract:
Hyperpolygon spaces are finite-dimensional hyperkaehler quotients that can be regarded as linearizations of character varieties. As such, they provide a testing ground for many conjectures related to Hitchin systems, including those that make contact with high-energy physics and string theory. In this talk, I will describe ongoing work with each of Laura Schaposnik and Hartmut Weiss on the mirror symmetry and asymptotic geometry, respectively, of hyperpolygon spaces. The former includes a study of branes in hyperpolygon space while the latter includes the construction of a partial compactification of hyperpolygon space.
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