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SUMMARY:Lagrangian link quasimorphisms and the non-simplicity of Hameomorp
 hism group of surfaces - Cheuk Yu Mak (Southampton)
DTSTART:20231101T160000Z
DTEND:20231101T170000Z
UID:TALK205309@talks.cam.ac.uk
CONTACT:Oscar Randal-Williams
DESCRIPTION:In this talk\, we will explain the construction of a sequence 
 of homogeneous quasi-morphisms of the area-preserving homeomorphism group 
 of the sphere using Lagrangian Floer theory for links. The first-order inf
 ormation of this sequence enables us to show that the area-preserving home
 omorphism group is not simple\, with the Hameomorphism group being a non-t
 rivial proper normal subgroup. The second-order information allows us to s
 how that the Hameomorphism group is not simple either. If time permits\, w
 e will explain how to generalize it to all positive genus surfaces even th
 ough we no longer have quasi-morphisms.\n\nThe case of the sphere is joint
  work with Daniel Cristofaro-Gardiner\, Vincent Humilière\, Sobhan Seyfad
 dini\, and Ivan Smith. The case of positive genus surfaces is joint work w
 ith Ibrahim Trifa.
LOCATION:MR13
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