University of Birmingham > Talks@bham > Algebra Seminar > Poisson homology of the nilpotent cone

Poisson homology of the nilpotent cone

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Poisson homology is an important invariant of Poisson varieties. In the case of conic symplectic singularities (such as those occurring in representation theory), this is a bigraded vector space. I will describe how to calculate this bigrading in the case where the Poisson variety is the nilpotent cone inside a semi-simple Lie algebra. This answers a question of Lusztig, and is joint work with T. Schedler.

This talk is part of the Algebra Seminar series.

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