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SUMMARY:Marta Batoreo (Universidade Federal do Espírito Santo)
DTSTART:20250923T140000Z
DTEND:20250923T150000Z
DTSTAMP:20260423T022719Z
UID:Geolis/174
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Geolis/174/"
 >On the number of periodic points of symplectomorphisms on surfaces</a>\nb
 y Marta Batoreo (Universidade Federal do Espírito Santo) as part of Geome
 tria em Lisboa (IST)\n\n\nAbstract\nIn this talk I will survey some result
 s on the existence of periodic points of symplectomorphisms defined on clo
 sed orientable surfaces of positive genus g. Namely\, I will describe some
  symplectic flows on such surfaces possessing finitely many periodic point
 s and describe a non-Hamiltonian variant of the Hofer-Zehnder conjecture f
 or symplectomorphisms defined on surfaces\; this conjecture provides a qua
 ntitative threshold on the number of fixed points (possibly counted homolo
 gically) which forces the existence of infinitely many periodic points. Th
 is is joint work in progress with Marcelo Atallah and Brayan Ferreira.\n
LOCATION:https://researchseminars.org/talk/Geolis/174/
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