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SUMMARY:Automorphisms of free and surface groups and their fixed points - 
 Enric Ventura (Universitat Politècnica de Catalunya)
DTSTART:20161111T134500Z
DTEND:20161111T150000Z
UID:TALK69029@talks.cam.ac.uk
CONTACT:Maurice Chiodo
DESCRIPTION:For a compact surface Σ (orientable or not\, and with boundar
 y or not) we show that the fixed subgroup\, Fix B\, of any family B of end
 omorphisms of π_1(Σ) is compressed in Σ i.e.\, rank(Fix B) ≤ rank(H) 
 for any H such that Fix B ≤ H ≤ π_1(Σ). On the way\, we give a parti
 al positive solution to the inertia conjecture\, both for free and for sur
 face groups. We also investigate direct products\, G\, of finitely many fr
 ee and surface groups\, and give a characterization of when G satisfies th
 e condition rank(Fix φ) ≤ rank(G) for every φ in Aut(G). This is joint
  work with Q. Zhang and J. Wu.
LOCATION:CMS\, MR13
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