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Poisson homology of the nilpotent cone

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If you have a question about this talk, please contact David Craven.

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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Postgraduate Seminars in the School of Computer Science dddd SERENE Group Seminar Series

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