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TZID:Europe/Paris
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BEGIN:VEVENT
UID:5874@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20221124T110000
DTEND;TZID=Europe/Paris:20221124T120000
DTSTAMP:20241120T200644Z
URL:https://www.i2m.univ-amu.fr/evenements/homotopy-properties-of-smooth-f
 unctions-on-surfaces/
SUMMARY:Iryna Kuznietsova (Institute of Mathematics of the National Academy
  of Sciences of Ukraine): Homotopy properties of smooth functions on surfa
 ces
DESCRIPTION:Iryna Kuznietsova: Abstract:\nLet $M$ be a smooth compact surfa
 ce. Consider the natural action of the group $D(M)$ of diffeomorphisms on 
 the space of smooth functions $С^\\infty(M\,R)$ such that the result of t
 he action of the diffeomorphism $h$ on the function $f$ is the composition
  $f\\circ h$.\nI will talk about homotopy types of orbits and stabilizers 
 of Morse functions under this action.\nIn particular\, if $M$ has negative
  Euler characteristic\, then computation of such homotopy types reduces to
  the computation of fundamental groups of orbits of functions only on cyli
 nders\, disks and Möbius bands. These groups for disks and cylinders were
  computed by Sergyi Maksymenko and appeared to be generated by direct and 
 some sorts of wreath products. This talk will focus on the current progres
 s for the case of Möbius band and is based on a joint work with Sergyi Ma
 ksymenko.
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 022/09/413.jpg
CATEGORIES:Séminaire,Géométrie et Topologie de Marseille
LOCATION:St Charles - FRUMAM\, 3\, place Victor Hugo\, Marseille\, 13003\, 
 France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=3\, place Victor Hugo\, Mar
 seille\, 13003\, France;X-APPLE-RADIUS=100;X-TITLE=St Charles - FRUMAM:geo
 :0,0
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DTSTART:20221030T020000
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TZOFFSETTO:+0100
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