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SUMMARY:Lagrangian Klein bottles in S2xS2 [Bonn symplectic geometry semina
 r]
DTSTART:20241203T111500Z
DTEND:20241203T121500Z
DTSTAMP:20260317T070200Z
UID:indico-event-113@math-events.uni-bonn.de
DESCRIPTION:Speakers: Nikolas Adaloglou (Leiden)\n\nUsing (almost) toric f
 ibrations and their visible Lagrangians we canconstruct many novel and int
 eresting examples of Lagrangian submanifolds ofsymplectic 4 manifolds.  N
 aturally\, one can ask whether visible Lagrangians are allthe Lagrangians 
 that exist\, or\, in other words\, how faithfull the pictures comingfrom a
 lmost toric fibrations are. I will answer this question for Klein bottles 
 in(S2xS2\,ω_λ)\, i.e.  the product of two spheres where the first facto
 r has area 1and the other factor has area λ. In particular\, I will first
  construct a visibleLagrangian Klein bottle when λ<2.  Then I will show 
  that no  Lagrangian Kleinbottles exists otherwise. The key input for ob
 structing the existence of the Kleinbottles is Luttinger surgery along wit
 h techniques of  (compact) pseudoholomorpiccurves and Seiberg-Witten theo
 ry.\nThis is joint work with J. Evans.\n \n\nhttps://math-events.uni-bonn
 .de/event/113/
LOCATION:Endenicher Allee 60\, Nebengebäude/N0-003 - Seminarraum (Matheze
 ntrum)
URL:https://math-events.uni-bonn.de/event/113/
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