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SUMMARY:Introduction to hyperkähler Floer homology and new propects & ide
 as
DTSTART:20131120T171500
DTEND:20131120T180000
DTSTAMP:20260428T064406Z
UID:9f611c8aaa41e0a21bf9ebe1ae74021e40c80082af444fe18dc667d2
CATEGORIES:Conferences - Seminars
DESCRIPTION:Sonja Hohloch (EPFL)\nHamiltonian Dynamics SeminarAbstract: Fl
 oer homology is a powerful tool in symplectic geometry. It was developed b
 y Andreas Floer at the end of the 1980's in order to prove Arnold's conjec
 ture on the number of fixed points of so-called Hamiltonian diffeomorphism
 s.\nIn a joint work with Dietmar Salamon and Gregor Noetzel\, we had gener
 alized Floer homology to hyperkähler geometry\, more precisely\, we defin
 ed and computed it on flat\, compact hyperkähler manifolds. In a new proj
 ect with Thomas Walpuski\, we want to remove the flatness condition. Lack 
 of flatness renders the analysis much more difficult since the involved tr
 iholomorphic curves (also called Cauchy-Riemann-Fueter solutions) have new
  bubbling-off phenomena.\nWe will give an understandable introduction to (
 hyperkähler) Floer homology and then we try to motivate the arising analy
 sis problems (without actually doing much analysis due to lack of time).
LOCATION:MA A3 31 http://plan.epfl.ch/?room=MA%20A3%2031
STATUS:CONFIRMED
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