Higgs algebras of weighted projective lines and loop crystals

Guillaume Pouchin (U Edinburgh)

Wednesday 25th January, 2012 16:00-17:00 204


In this talk we study a new construction of loop Lie algebras via constructible functions on a space of Higgs bundles on some particular curves: the weighted projective lines. This allows a definition of new interesting basis. We also explain how this geometric setting leads to the concept of loop crystal, analogous to crystals but for loop Lie algebras.

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