Symplectomorphisms of some Weinstein manifolds

Ailsa Keating (University of Cambridge)

Monday 16th May 16:00-17:00 Maths 110B + Online

Abstract

(Joint work with Paul Hacking.) We introduce two new families of four-dimensional symplectomorphisms, inspired by mirror symmetry. The basic symplectic manifolds which support these are smoothings of cusp singularities. Their topology can be described explicitly, as can their mirrors, which are associated to the dual cusps. The new symplectomorphisms are a) `Lagrangian translations', which are mirror to tensors with line bundles; and b) `nodal slide recombinations', which are mirror to biholomorphisms. This talk will be accessible to a generalist geometry & topology audience.

The speaker will be in person but you may attend the talk via Zoom (link here, the passcode is the genus of the two-dimensional sphere - 4 letters all lowercase).

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