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UID:20260415T204739EDT-8957J0ZBX8@132.216.98.100
DTSTAMP:20260416T004739Z
DESCRIPTION:Title:  Dilatations of pseudo-Anosov maps.\n\nAbstract: A pseud
 o-Anosov map is a surface homeomorphism that acts with similar dynamics as
  a hyperbolic element of SL2R on R2. A classical result of Nielsen and Thu
 rston shows that these are surprisingly prevalent among mapping classes of
  surfaces. The dilatation of a pseudo-Anosov map is a measure of the compl
 exity of its dynamics. It is another classical result that the set of dila
 tations among all pseudo-Anosov maps defined on a fixed surface has a mini
 mum element. This minimum dilatation can be thought of as the smallest amo
 unt of mixing one can perform on the surface while still doing something t
 opologically interesting. The minimum dilatation problem asks for this min
 imum value. In this talk\, we will start by providing some background for 
 pseudo-Anosov maps\, in particular explaining how the theory can be viewed
  from the perspective of outer automorphisms of surface groups. We will th
 en present some recent work on the minimum dilatation problem with Eriko H
 ironaka\, which shows a sharp lower bound for dilatations of fully-punctur
 ed pseudo-Anosov maps with at least two puncture orbits.\n
DTSTART:20230920T190000Z
DTEND:20230920T200000Z
LOCATION:Room 920\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue 
 Sherbrooke Ouest
SUMMARY:Chi Cheuk Tsang (Université du Québec à Montréal)
URL:https://www.mcgill.ca/mathstat/channels/event/chi-cheuk-tsang-universit
 e-du-quebec-montreal-351009
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