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DTSTART:19700329T010000
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CATEGORIES:Junior Geometry Seminar
SUMMARY:Symplectic topology of some surface singularities
- Emily Maw (LSGNT)
DTSTART;TZID=Europe/London:20180309T150000
DTEND;TZID=Europe/London:20180309T160000
UID:TALK97072AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/97072
DESCRIPTION:When you smooth a singularity in a symplectic mani
fold\, you introduce some extra topology in its pl
ace: a Lagrangian vanishing cycle. Hence questions
about degenerations of algebraic surfaces can be
rephrased in terms of Lagrangian embeddings of 2D
cell complexes. We will meet certain cell complexe
s called "pinwheels" (vanishing cycles of Wahl sin
gularities)\, whose Lagrangian embeddings in CP2 a
re classified by so-called Markov numbers (by work
of Evans-Smith). I will talk a bit about my work
on extending this to other surfaces\, and give an
idea of the proof in the case of P1 x P1\, which u
ses holomorphic curve techniques. The talk should
be accessible to all\, regardless of symplectic ba
ckground (or lack thereof!).
LOCATION:MR13
CONTACT:Nils Prigge
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