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UID:news694@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20190212T230240
DTSTART;TZID=Europe/Zurich:20151211T103000
SUMMARY:Seminar Algebra and Geometry: Federico Lo Bianco (Rennes)
DESCRIPTION:An  automorphism f acting on a complex projective (or\, more ge
 nerally\,  compact Kaehler) manifold X induces by pull-back a linear isomo
 rphism f* of the cohomology of X. The study of the possible isomorphisms  
 that can be realized this way is interesting per se and also has  importan
 t applications in the study of the dynamics of f: for example\,  the topol
 ogical entropy of f\, measuring the chaos created by  repeatedly applying 
 f\, can be recovered from the eigenvalues of f*.  If X is a surface the si
 tuation is well understood: if f* is not  of finite order\, then either it
  is virtually unipotent with only one  non-trivial Jordan block of dimensi
 on 3\, or semi-simple with only two  eigenvalues with module different tha
 n 1. I will present the similar  results I obtained with Cantat for threef
 olds and show their optimality  with examples on complex tori.
X-ALT-DESC: An  automorphism f acting on a complex projective (or\, more ge
 nerally\,  compact Kaehler) manifold X induces by pull-back a linear isomo
 rphism f<sup>*</sup> of the cohomology of X. The study of the possible iso
 morphisms  that can be realized this way is interesting per se and also ha
 s  important applications in the study of the dynamics of f: for example\,
   the topological entropy of f\, measuring the chaos created by  repeatedl
 y applying f\, can be recovered from the eigenvalues of f<sup>*</sup>.  If
  X is a surface the situation is well understood: if f<sup>*</sup> is not 
  of finite order\, then either it is virtually unipotent with only one  no
 n-trivial Jordan block of dimension 3\, or semi-simple with only two  eige
 nvalues with module different than 1. I will present the similar  results 
 I obtained with Cantat for threefolds and show their optimality  with exam
 ples on complex tori.
DTEND;TZID=Europe/Zurich:20151211T120000
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