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SUMMARY:Anosov group action on flag varieties
DTSTART:20230613T141500
DTEND:20230613T160000
DTSTAMP:20260929T061235Z
UID:fe0b6afb86c4904ba9d17327f2ba0448f3c6ee1a0d4c683f637ad144
CATEGORIES:Conferences - Seminars
DESCRIPTION:Shenyuang Zhao (Université de Toulouse)\nGiven a self-map of 
 a projective variety\, we may ask how subvarieties of the projective varie
 ty behave under iterations of the self-map. Brolin and Lyubich discovered 
 an equidistribution phenomenon for self-maps of the projective line. Peopl
 e expect the same for higher dimensional varieties\, i.e. different subvar
 ieties converge in the same way under iterations. We can also ask the same
  question for iterations under a group action instead of a single self-map
 . In dimension one Patterson-Sullivan theory can be thought of as an anolo
 gue of Brolin-Lyubich's work in the group action setting. In this ongoing 
 joint work with Bac Dang\, Michael Kapovich and Mikhail Lyubich\, we try t
 o generalize some aspects of the one dimensional theory to higher dimensio
 n.
LOCATION:MA A1 12 https://plan.epfl.ch/?room==MA%20A1%2012
STATUS:CONFIRMED
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