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UID:4859@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20230914T110000
DTEND;TZID=Europe/Paris:20230914T120000
DTSTAMP:20240524T072506Z
URL:https://www.i2m.univ-amu.fr/evenements/rational-homotopy-type-of-the-m
 oduli-space-of-stable-rational-curves/
SUMMARY: (...): Rational homotopy type of the moduli space of stable ration
 al curves
DESCRIPTION:: In 2004\, Manin asked whether the cohomology of the moduli sp
 ace of stable rational curves with n marked points (= the Deligne-Mumford 
 compactification of the moduli space of smooth genus zero curves with n ma
 rked points) is a Koszul algebra. I shall present a complete solution to t
 his problem\, proving that the answer is positive for all n. An immediate 
 consequence of my result is an explicit description of the rational homoto
 py Lie algebras of these spaces by generators and relations. Time permitti
 ng\, I shall discuss some generalizations and modifications of this result
  obtained by Basile Coron in his PhD thesis defended this year.\n&nbsp\;
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
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DTSTART:20230326T030000
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