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SUMMARY:Vinicius Ramos (Instituto de Matemática Pura e Aplicada)
DTSTART:20220607T150000Z
DTEND:20220607T160000Z
DTSTAMP:20260423T022725Z
UID:Geolis/88
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Geolis/88/">
 The Toda lattice and the Viterbo conjecture</a>\nby Vinicius Ramos (Instit
 uto de Matemática Pura e Aplicada) as part of Geometria em Lisboa (IST)\n
 \n\nAbstract\nThe Toda lattice is one of the earliest examples of non-line
 ar completely integrable systems. Under a large deformation\, the Hamilton
 ian flow can be seen to converge to a billiard flow in a simplex. In the 1
 970s\, action-angle coordinates were computed for the standard system usin
 g a non-canonical transformation and some spectral theory. In this talk\, 
 I will explain how to adapt these coordinates to the situation to a large 
 deformation and how this leads to new examples of symplectomorphisms of La
 grangian products with toric domains. In particular\, we find a sequence o
 f Lagrangian products whose symplectic systolic ratio is one and we prove 
 that they are symplectomorphic to balls. This is joint work with Y. Ostrov
 er and D. Sepe.\n
LOCATION:https://researchseminars.org/talk/Geolis/88/
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