### Poisson modules

Hitchin, N *(Oxford)*

Friday 11 March 2011, 14:00-15:00

Seminar Room 1, Newton Institute

#### Abstract

Within the context of holomorphic Poisson geometry, there is a natural notion of a Poisson module, which is a holomorphic vector bundle with additional structure. For a symplectic structure, this is just a flat connection, but for a general Poisson structure there are a number of constructions and examples which we shall describe. Even the case of the zero Poisson structure is non-trivial as it leads to the notion of co-Higgs bundles.

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