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DTSTART:20250330T030000
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DTSTAMP:20260424T143235Z
UID:66a376b9cc2dd249035389@ist.ac.at
DTSTART:20250128T140000
DTEND:20250128T153000
DESCRIPTION:Speaker: Corentin Fierobe\nhosted by Kaloshin Group\nAbstract: 
 Mathematical billiards in strictly convex domains with smooth boundaries p
 rovide tangible examples of twist maps on the cylinder\, where the dynamic
 s exhibit almost integrable behavior near the boundary. Building on this i
 dea\, Lazutkin demonstrated the existence of a Cantor set of positive meas
 ure\, which contains zero\, and within which the billiard maps have invari
 ant curves associated with certain rotation numbers. These invariant curve
 s evolve smoothly as the rotation number varies\, in the Whitney sense. In
  this talk\, I will present a generalization of this result for billiards 
 with analytic boundaries\, a joint work with Frank Trujillo and Vadim Kalo
 shin\, motivated by recent advances from Carminati\, Marmi\, Sauzin\, and 
 Sorrentino. This extension shows that the Cantor set of rotation numbers c
 an be continued into the complex plane\, with the complex counterpart cont
 aining structures known as diamonds. This discovery offers new insights in
 to length spectral rigidity.
LOCATION:Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101
 )\, ISTA
ORGANIZER:cfrancois@ist.ac.at
SUMMARY:Corentin Fierobe: Diamond structures in KAM invariant curves of ana
 lytic billiard-like maps
URL:https://talks-calendar.ista.ac.at/events/5135
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