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SUMMARY:On symplectic stabilisations and mapping classes - Ailsa Keating\,
  Cambridge
DTSTART:20180214T160000Z
DTEND:20180214T170000Z
UID:TALK94417@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION:In real dimension two\, the symplectic mapping class group of 
 a surface agrees with its `classical' mapping class group\, whose properti
 es are well-understood. To what extend do these generalise to higher-dimen
 sions? We consider specific pairs of symplectic manifolds (S\, M)\, where 
 S is a surface\, together with collections of Lagrangian spheres in S and 
 in M\, say v_1\, ...\,v_k and V_1\, ...\,V_k\, that have analogous interse
 ction patterns\, in a sense that we will make precise. Our main theorem is
  that any relation between the Dehn twists in the V_i must also hold betwe
 en Dehn twists in the v_i. Time allowing\, we will give some corollaries\,
  such as embeddings of certain interesting groups into auto-equivalence gr
 oups of Fukaya categories.
LOCATION:MR13
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