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SUMMARY:Liat Kessler (University of Haifa)
DTSTART:20240116T160000Z
DTEND:20240116T170000Z
DTSTAMP:20260423T022733Z
UID:Geolis/137
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Geolis/137/"
 >Extending cyclic actions to circle actions</a>\nby Liat Kessler (Universi
 ty of Haifa) as part of Geometria em Lisboa (IST)\n\n\nAbstract\nIt is nat
 ural to ask whether an action of a finite cyclic group extends to a circle
  action. Here\, the action is on a symplectic manifold of dimension four. 
 Admitting a circle action implies that a simply connected closed symplecti
 c four-manifold is either the projective plane or obtained from an $S^2$ b
 undle over $S^2$ by k blowups. I will show that for k small enough\, any c
 yclic action that is trivial on homology extends to a circle action\, and 
 present a case in which the action does not extend. I will also discuss ho
 w we approach this question for a general k. The proofs combine holomorphi
 c and combinatorial methods. The talk is based on a joint work with River 
 Chiang.\n
LOCATION:https://researchseminars.org/talk/Geolis/137/
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