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SUMMARY:Serge Cantat (CNRS -- Université de Rennes)
DTSTART:20201113T193000Z
DTEND:20201113T202000Z
DTSTAMP:20260422T221006Z
UID:20w5206/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/20w5206/12/"
 >Finite orbits and canonical heights for large groups of automorphisms.</a
 >\nby Serge Cantat (CNRS -- Université de Rennes) as part of BIRS worksho
 p: Algebraic Dynamics and its Connections to Difference and Differential E
 quations\n\n\nAbstract\nConsider a complex projective surface $X$\, with a
  non-abelian free group $G$ acting \nfaithfully and regularly on $X$. It m
 ay happen that $G$ has infinitely many periodic orbits: \nthis is the case
  when $X$ is an abelian surface and all torsion points are $G$-periodic. \
 nIn this talk\, I will describe recent results obtained with Romain Dujard
 in aiming at a\ncomplete classification of all such examples. The main pla
 yers will be canonical heights\, \narithmetic equidistribution\, and rigid
 ity results in ergodic theory.\n
LOCATION:https://researchseminars.org/talk/20w5206/12/
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