BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//wp-events-plugin.com//7.2.3.1//EN
TZID:Europe/Paris
X-WR-TIMEZONE:Europe/Paris
BEGIN:VEVENT
UID:5142@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20240502T110000
DTEND;TZID=Europe/Paris:20240502T120000
DTSTAMP:20240524T072506Z
URL:https://www.i2m.univ-amu.fr/evenements/tba-63-2/
SUMMARY: (...): Stable cohomology of Aut(Fn) with bivariant twisted coeffic
 ients
DESCRIPTION:: The cohomology of Aut(Fn)\, the automorphism group of a free 
 group on n generators\, has been studied by many authors. In particular\, 
 much progress has been made concerning its stable cohomology\, i.e. the co
 homology in degrees sufficiently low compared to n. It was proven by Galat
 ius that the stable cohomology groups with coefficients in Q are trivial. 
 With coefficients in tensor powers of the first rational homology of Fn\, 
 or its first rational cohomology\, the stable cohomology groups were indep
 endently computed by Djament and Vespa (using functor homology methods) an
 d by Randal-Williams (by extending the methods of Galatius). For mixed ten
 sor powers of these coefficients ("bivariant" twisted coefficients)\, a co
 njectural description was given by Djament. Furthermore\, Kawazumi and Ves
 pa proved that the collection of stable cohomology groups with all differe
 nt bivariant twisted coefficients has the structure of a so-called "wheele
 d PROP" and rephrased the conjecture of Djament in these terms. Recently\,
  I managed to confirm this conjecture\, by essentially pushing the methods
  of Randal-Williams a bit further. In this talk I will review these result
 s and\, if time permits\, sketch my proof of the conjecture.
CATEGORIES:Séminaire,Géométrie et Topologie de Marseille
LOCATION:I2M Saint-Charles - Salle de séminaire\, Université Aix-Marseill
 e\, Campus Saint-Charles\, 3 Place Victor Hugo\, Marseille\, 13003\, Franc
 e
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Université Aix-Marseille\,
  Campus Saint-Charles\, 3 Place Victor Hugo\, Marseille\, 13003\, France;X
 -APPLE-RADIUS=100;X-TITLE=I2M Saint-Charles - Salle de séminaire:geo:0,0
END:VEVENT
BEGIN:VTIMEZONE
TZID:Europe/Paris
X-LIC-LOCATION:Europe/Paris
BEGIN:DAYLIGHT
DTSTART:20240331T030000
TZOFFSETFROM:+0100
TZOFFSETTO:+0200
TZNAME:CEST
END:DAYLIGHT
END:VTIMEZONE
END:VCALENDAR