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SUMMARY:Sobhan Seyfaddini (at the Symplectic Zoominar)
DTSTART:20210305T141500Z
DTEND:20210305T151500Z
DTSTAMP:20260404T111110Z
UID:Micro-C0-conf/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Micro
 -C0-conf/1/">Periodic Floer homology and  the large-scale geometry of Hofe
 r's metric on the sphere</a>\nby Sobhan Seyfaddini (at the Symplectic Zoom
 inar) as part of Micro-Conference on C0 symplectic topology\n\n\nAbstract\
 nThe group of Hamiltonian diffeomorphisms of a symplectic manifold admits 
 a remarkable bi-invariant metric\, called Hofer’s metric.  My talk will 
 be about a recent joint work with Dan Cristofaro-Gardiner and Vincent Humi
 lière resolving the following two open-questions related to the large-sca
 le geometry of this metric.  The first\, due to Kapovich and Polterovich\,
  asks whether the two-sphere\, equipped with Hofer’s metric\, is quasi-i
 sometric to the real line\; we show that it is not.  The second\, due to F
 athi\, asks whether the group of area and orientation preserving homeomorp
 hisms of the two-sphere is a simple group\; we show that it is not.  Key t
 o our proofs is a new sequence of spectral invariants defined via Hutching
 s’ Periodic Floer Homology.\n
LOCATION:https://stable.researchseminars.org/talk/Micro-C0-conf/1/
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SUMMARY:Rémi Leclercq
DTSTART:20210306T140000Z
DTEND:20210306T150000Z
DTSTAMP:20260404T111110Z
UID:Micro-C0-conf/2
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Micro
 -C0-conf/2/">C^0 flexigidity of submanifolds</a>\nby Rémi Leclercq as par
 t of Micro-Conference on C0 symplectic topology\n\n\nAbstract\nWe will rev
 iew recent results in C^0 symplectic geometry. In this first part we will 
 be interested in problems of rigidity and flexibility of some natural subm
 anifolds of symplectic manifolds. We will focus on rigidity results for co
 isotropic submanifolds\, obtained in joint works with Humilière and Seyfa
 ddini.\n
LOCATION:https://stable.researchseminars.org/talk/Micro-C0-conf/2/
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BEGIN:VEVENT
SUMMARY:Vincent Humilière
DTSTART:20210306T153000Z
DTEND:20210306T163000Z
DTSTAMP:20260404T111110Z
UID:Micro-C0-conf/3
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Micro
 -C0-conf/3/">C^0 continuity of spectral invariants and applications</a>\nb
 y Vincent Humilière as part of Micro-Conference on C0 symplectic topology
 \n\n\nAbstract\nIn this second part on C^0 symplectic geometry\, we will r
 eview recent results on the C^0 continuity of  spectral invariants (and ba
 recodes)\, in particular those obtained in  joint work with Lev Buhovsky a
 nd Sobhan Seyfaddini. We will also present  various consequences and appli
 cations of this continuity.\n
LOCATION:https://stable.researchseminars.org/talk/Micro-C0-conf/3/
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