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CATEGORIES:Junior Geometry Seminar
SUMMARY:Lagrangian branes and symplectic methods in genera
lised complex geometry - Charlotte Kirchhoff-Lukat
(DAMTP)
DTSTART;TZID=Europe/London:20170526T150000
DTEND;TZID=Europe/London:20170526T160000
UID:TALK71255AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/71255
DESCRIPTION:Generalised complex geometry (introduced by Hitchi
n and Gualtieri in the early 2000's) interpolates
between ordinary complex and symplectic geometry.\
nStable generalised complex manifolds (first intro
duced by Cavalcanti and Gualtieri in 2015) provide
a class of examples of generalised complex manifo
lds that admits neither a symplectic nor a complex
structure. Their generalised complex structure is
\, up to gauge equivalence\, fully determined by a
Poisson structure which is symplectic everywhere
except on a real codimension 2 submanifold.\nI wil
l give an introduction on how to apply symplectic
techniques to this class of manifolds\, and their
natural submanifolds\, generalised complex branes\
, in particular a new class of Lagrangian branes w
ith boundary\, and outline how we hope to use thes
e to define a Fukaya category for certain types of
stable generalised complex manifold.
LOCATION:MR13
CONTACT:
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