Geometry and topology of infinite-dimensional bundles and the caloron correspondence

Dr R. Vozzo (University of Glasgow)

Monday 29th October, 2012 15:30-16:30 417


The caloron correspondence is a method for translating between principal bundles with structure group an infinite-dimensional Lie group and bundles with finite-dimensional structure group. Crucially, it also allows us to describe the geometry of these infinite-dimensional bundles in terms of finite dimensional data. In this talk I will describe this correspondence and give an indication of some of the results that have so far been obtained using it.

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