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SUMMARY:Miguel Pereira (University of Augsburg)
DTSTART:20220419T150000Z
DTEND:20220419T160000Z
DTSTAMP:20260423T022627Z
UID:Geolis/85
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Geolis/85/">
 The Lagrangian capacity of toric domains</a>\nby Miguel Pereira (Universit
 y of Augsburg) as part of Geometria em Lisboa (IST)\n\n\nAbstract\nA sympl
 ectic capacity is a functor that to each symplectic manifold (possibly in 
 a restricted subclass) assigns a nonnegative number. The Lagrangian capaci
 ty is an example of such an object. In this talk\, I will state a conjectu
 re concerning the Lagrangian capacity of a toric domain. Then\, I will pre
 sent two results concerning this conjecture. First\, I will explain a proo
 f of the conjecture in the case where the toric domain is convex and 4-dim
 ensional. This proof makes use of the Gutt-Hutchings capacities as well as
  the McDuff-Siegel capacities. Second\, I will explain a proof of the conj
 ecture in full generality\, but assuming the existence of a suitable virtu
 al perturbation scheme which defines the curve counts of linearized contac
 t homology. This second proof makes use of Siegel's higher symplectic capa
 cities.\n
LOCATION:https://researchseminars.org/talk/Geolis/85/
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