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SUMMARY:Generalized complex structures and their deformations - Paula Pila
 tus\, University of Hamburg
DTSTART:20260320T160000Z
DTEND:20260320T170000Z
UID:TALK245029@talks.cam.ac.uk
CONTACT:Adrian Dawid
DESCRIPTION:In generalized geometry\, one studies geometric structures on 
 Courant algebroids\, a generalisation of the tangent bundle of a manifold.
  A fundamental example is the generalized tangent bundle TM+T^***M of a ma
 nifold. Generalized complex (GC) structures are geometric structures unify
 ing and extending both complex and symplectic structures.\nIn this talk\, 
 I will give a gentle introduction to generalized (complex) geometry. I wil
 l then focus on the deformation theory of GC structures on the generalized
  tangent bundle\, as developed by Marco Gualtieri in his PhD thesis. In pa
 rticular\, he proved a theorem on the existence of locally complete famili
 es of GC deformations\, extending a proof of Kuranishi for the classical r
 esult on deformations of complex structures.\nIf time permits\, I will als
 o discuss an extension of this result to a broader class of Courant algebr
 oids\, highlighting certain analytical aspects of the classical arguments 
 of Kuranishi and Gualtieri that must first be revisited.\n\n*The location 
 is MR14 and not the usual room.*
LOCATION:MR14
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