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SUMMARY:Alessio Pellegrini: "A Bangertâ€“Hingston Theorem for Starshaped H
ypersurfaces"
DTSTART;VALUE=DATE-TIME:20220504T120000Z
DTEND;VALUE=DATE-TIME:20220504T130000Z
DTSTAMP;VALUE=DATE-TIME:20230327T145900Z
UID:indico-event-7720@indico.math.cnrs.fr
DESCRIPTION:\nIn the first part of the talk we will discuss some aspects o
f a celebrated theorem due to Bangert and Hingston which says the followin
g: on any closed manifold Q\, which is not a circle and has fundamental gr
oup Z\, the number of geometrically distinct closed geodesics grows like t
he prime numbers. We will give a rough sketch of the proof and put an emph
asis on the use of Lusternikâ€“Schnirelmann theory therein.\nIn the second
part of the talk we will explain how Bangert and Hingston's theorem can b
e restated in terms of Hamiltonian dynamics and discuss the natural genera
lization from geodesics to Reeb orbits. Under an additional circle action
assumption and the use of Floer theory\, we proceed to give a proof of a B
angert and Hingston type result for closed Reeb orbits on starshaped hyper
surfaces.\n\nhttps://indico.math.cnrs.fr/event/7720/
LOCATION:435 (UMPA)
URL:https://indico.math.cnrs.fr/event/7720/
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