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SUMMARY:Lagrangian branes and symplectic methods in generalised complex ge
 ometry - Charlotte Kirchhoff-Lukat (DAMTP)
DTSTART:20170526T140000Z
DTEND:20170526T150000Z
UID:TALK71255@talks.cam.ac.uk
CONTACT:36916
DESCRIPTION:Generalised complex geometry (introduced by Hitchin and Gualti
 eri in the early 2000's) interpolates between ordinary complex and symplec
 tic geometry.\nStable generalised complex manifolds (first introduced by C
 avalcanti and Gualtieri in 2015) provide a class of examples of generalise
 d complex manifolds that admits neither a symplectic nor a complex structu
 re. Their generalised complex structure is\, up to gauge equivalence\, ful
 ly determined by a Poisson structure which is symplectic everywhere except
  on a real codimension 2 submanifold.\nI will give an introduction on how 
 to apply symplectic techniques to this class of manifolds\, and their natu
 ral submanifolds\, generalised complex branes\, in particular a new class 
 of Lagrangian branes with boundary\, and outline how we hope to use these 
 to define a Fukaya category for certain types of stable generalised comple
 x manifold.
LOCATION:MR13
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