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SUMMARY:Some examples of (big) mapping classes and their mapping tori [MPI
 M]
DTSTART:20260416T143000Z
DTEND:20260416T153000Z
DTSTAMP:20260417T222700Z
UID:indico-event-1210@math-events.uni-bonn.de
DESCRIPTION:Speakers: Juan Souto (University of Rennes 1)\n\nOberseminar D
 ifferentialgeometrie\nA mapping class $f:S\\to S$ of a surface of finite t
 opological type is pseudo-Anosov if one of the following equivalent condit
 ions holds: (1) no power of $f$ fixes a curve\, (2) the mapping torus is p
 seudo-Anosov\, (3) $f$ has a representative which acts as a (singular) aff
 ine map with respect to some semi-translational structure on $S$\, (4) $f$
  acts as a translation along a Teichmueller geodesic\, (5) $f$ acts loxodr
 omically on the curve complex\, (6) $f$ has north-south dynamics on the sp
 ace $PML$ of projective measures laminations.\, (7)... When $S$ has infini
 te type\, things are much more complicated. I will discuss some examples w
 here\, what can go well goes well\, or at least as well as it can go. This
  is joint work with Tommaso Cremaschi and Ferrán Valdez.\n \n\nhttps://m
 ath-events.uni-bonn.de/event/1210/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1210/
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