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SUMMARY:Vinicius G. B. Ramos (IMPA\, Brazil)
DTSTART:20201202T151000Z
DTEND:20201202T163000Z
DTSTAMP:20260423T022713Z
UID:GDS/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDS/16/">Exa
 mples around the strong Viterbo conjecture</a>\nby Vinicius G. B. Ramos (I
 MPA\, Brazil) as part of Geometry and Dynamics seminar\n\n\nAbstract\nThe 
 Viterbo conjecture states that the ball maximizes any normalized \nsymplec
 tic capacity within all convex sets in R^{2n} of a fixed volume \nand that
  it is the unique maximizer. A stronger conjecture says that \nall normali
 zed capacities coincide for convex sets. In joint work with \nGutt and Hut
 chings\, we prove the stronger conjecture for a somewhat \ndifferent class
  of 4-dimensional domains\, namely toric domains with a \ndynamically conv
 ex toric boundary. In joint work with Ostrover and Sepe\, \nwe prove that 
 a 4-dimensional Lagrangian product which is a maximizer \nof the Hofer-Zeh
 nder capacity is non-trivially symplectomorphic to a \nball giving further
  evidence to the uniqueness claim of Viterbo's \nconjecture. In this talk\
 , I will explain the proof of these two results.\n
LOCATION:https://researchseminars.org/talk/GDS/16/
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