Isolated hypersurface singularities and symplectic geometry

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• Ailsa Keating (Columbia/Trinity College)
• Wednesday 22 July 2015, 14:30-15:30
• CMS, MR12.

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Given a complex polynomial with an isolated singular point, one can associate to it a number of invariants belonging to symplectic geometry. The simplest is the Milnor fibre of this singularity: a smoothing of the fibre of the singular value, which naturally carries a symplectic structure. We will show that simple surface singularities (i.e. those of type ADE ) can by characterized by symplectic properties of their Milnor fibres. More generally, we will explain how revisiting classical singularity from the perspective of symplectic geometry, a program suggested by Arnol’d, can yield interesting results for both sides.

This talk will not assume any prior knowledge of symplectic geometry.

This talk is part of the Special DPMMS Colloquium series.

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