Elliptic singularities on log symplectic manifolds

Brent Pym (Edinburgh)

Monday 8th May, 2017 16:00-17:00 Maths 204

Abstract

A log symplectic form is a symplectic form that has a pole
along a hypersurface, but still defines a Poisson bracket.  There are
many natural examples arising from various Lie algebras and moduli
spaces.  While the singularities of the polar hypersurface are very
large, their structure is tightly constrained.  I will describe some
results on the classification and deformation theory of these
singularities, in which elliptic curves play a prominent role.  One of
the primary applications is to the classification of noncommutative
algebraic varieties via deformation quantization.

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