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SUMMARY:Symplectic topology of some surface singularities - Emily Maw (LSG
 NT)
DTSTART:20180309T150000Z
DTEND:20180309T160000Z
UID:TALK97072@talks.cam.ac.uk
CONTACT:Nils Prigge
DESCRIPTION:When you smooth a singularity in a symplectic manifold\, you i
 ntroduce some extra topology in its place: a Lagrangian vanishing cycle. H
 ence questions about degenerations of algebraic surfaces can be rephrased 
 in terms of Lagrangian embeddings of 2D cell complexes. We will meet certa
 in cell complexes called "pinwheels" (vanishing cycles of Wahl singulariti
 es)\, whose Lagrangian embeddings in CP2 are classified by so-called Marko
 v numbers (by work of Evans-Smith). I will talk a bit about my work on ext
 ending this to other surfaces\, and give an idea of the proof in the case 
 of P1 x P1\, which uses holomorphic curve techniques. The talk should be a
 ccessible to all\, regardless of symplectic background (or lack thereof!).
LOCATION:MR13
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