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DTSTAMP:20250801T181436Z
DESCRIPTION: \n\n***
 **\n	COLLOQUE DES SCIENCES MATHÉMATIQUES DU Q
 UÉBEC\n\nLauréat du prix de mathématiques André-Aisenstadt 2020 /\n\n2020 
 André Aisenstadt Prize in Mathematics Recipient\n	
 *\n	TITLE :\n	Symmetry\, b
 arcodes\, and Hamiltonian dynamics\n	\n	\n	PLACE : Zoom:\n\nhttps://umontreal
 .zoom.us/j/93983313215?pwd=clB6cUNsSjAvRmFMME1PblhkTUtsQT09\n\nID de réuni
 on : 939 8331 3215\n\nCode : 096952\n\n\n	RÉSUMÉ / ABSTRACT :\n	In the early
  60s Arnol'd has conjectured that Hamiltonian diffeomorphisms\, the motion
 s of classical mechanics\, often possess more fixed points than required b
 y classical topological considerations. In the late 80s and early 90s Floe
 r has developed a powerful theory to approach this conjecture\, considerin
 g fixed points as critical points of a certain functional. Recently\, in j
 oint work with L. Polterovich\, we observed that Floer theory filtered by 
 the values of this functional fits into the framework of persistence modul
 es and their barcodes\, originating in data sciences. I will review these 
 developments and their applications\, which arise from a natural time-symm
 etry of Hamiltonians. This includes new constraints on one-parameter subgr
 oups of Hamiltonian diffeomorphisms\, as well as my recent solution of the
  Hofer-Zehnder periodic points conjecture. The latter combines barcodes wi
 th equivariant cohomological operations in Floer theory recently introduce
 d by Seidel to form a new method with further consequences.\n	\n	\n	 \n
DTSTART:20210205T200000Z
DTEND:20210205T210000Z
SUMMARY:Egor Shelukhin (Université de Montréal)
URL:/mathstat/channels/event/egor-shelukhin-universite
 -de-montreal-328195
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