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SUMMARY:Algebraic Torsion in Higher-dimensional contact manifolds - Agusti
 n Moreno (Berlin Mathematical School)
DTSTART:20171110T150000Z
DTEND:20171110T160000Z
UID:TALK83461@talks.cam.ac.uk
CONTACT:Nils Prigge
DESCRIPTION:Algebraic torsion\, introduced by Latschev-Wendl\, is an invar
 iant which provides a hierarchy of fillability obstructions in the categor
 y of all contact manifolds\, in such a way that overtwistedness implies al
 gebraic 0-torsion\, and the presence of Giroux torsion implies algebraic 1
 -torsion. Latschev-Wendl construct examples in dimension 3 of contact mani
 folds with any given order of torsion. I will sketch the construction of a
  5-dimensional contact manifold with algebraic 2-torsion\, but not 1-torsi
 on\, and discuss candidates in any odd dimension. 
LOCATION:MR13
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