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UID:20260603T005924EDT-8072g5k0zD@132.216.98.100
DTSTAMP:20260603T045924Z
DESCRIPTION:Persistence modules in symplectic topology\n\nIn order to resol
 ve Vladimir Arnol'd's famous conjecture from the 1960's\, giving lower bou
 nds on the number of fixed points of Hamiltonian diffeomorphisms of a symp
 lectic manifold\, Andreas Floer has associated in the late 1980's a homolo
 gy theory to the Hamiltonian action functional on the loop space of the ma
 nifold. It was known for a long time that this homology theory can be filt
 ered by the values of the action functional\,  yielding information about 
 metric invariants in symplectic topology (Hofer's metric\,  for example). 
 We discuss a recent marriage between the filtered version of Floer theory 
 and persistent homology\, a new field of mathematics that has its origins 
 in data analysis\, providing examples of new ensuing results.\n
DTSTART:20180209T210000Z
DTEND:20180209T220000Z
LOCATION:Room PK-5115 \, CA\, Pavillon President-Kennedy
SUMMARY:Egor Shelukhin\, Université de Montréal
URL:/mathstat/channels/event/egor-shelukhin-universite
 -de-montreal-284404
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