Towards the classification of symplectic linear quotient singularities admitting a symplectic resolution

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• Ulrich Thiel (Kaiserslautern)
• Thursday 18 February 2021, 15:00-16:00
• http://tinyurl.com/bhamalgsem.

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Over the past two decades, there has been much progress on the classification of symplectic linear quotient singularities V/G admitting a symplectic (equivalently, crepant) resolution of singularities. The classification is almost complete but there is an infinite series of groups in dimension 4 – the symplectically primitive but complex imprimitive groups – and 10 exceptional groups up to dimension 10, for which it is still open. Recently, we have proven that for all but possibly 39 cases in the remaining infinite series there is no symplectic resolution. We have thereby reduced the classification problem to finitely many open cases. We do not expect any of the remaining cases to admit a symplectic resolution. This is joint work with Gwyn Bellamy and Johannes Schmitt.

This talk is part of the Algebra seminar series.

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• Algebra seminar
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• http://tinyurl.com/bhamalgsem

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