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UID:9d434cbe50a191540d9be94938ba0c58
CATEGORIES:Topology/Geometry Seminar
CREATED:20240116T005134
SUMMARY:Counting fixed points of pseudo-Anosov maps
LOCATION:Hill 705
DESCRIPTION:Seminar website: https://sites.google.com/view/rutgersgeometrytopologysem23
 24/home (https://sites.google.com/view/rutgersgeometrytopologysem2324/home)
 \n
X-ALT-DESC;FMTTYPE=text/html:<p>Seminar website:&nbsp;<a href="https://sites.google.com/view/rutgersgeom
 etrytopologysem2324/home">https://sites.google.com/view/rutgersgeometrytopo
 logysem2324/home</a><span style="color: #000000;"></span></p>
CONTACT:David Futer (Temple University)
X-EXTRAINFO:Abstract:\nLet S be a hyperbolic surface and f a pseudo-Anosov map on S. I 
 will describe a result that predicts the number of fixed points of f, up to
  constants that depend only on the surface S. If f satisfies a mild conditi
 on called “strongly irreducible,” then the logarithm of the number of fixed
  points of f is coarsely equal to its translation length on the Teichmuller
  space of S. Without this mild condition, there is still a coarse formula.\
 n\nThis result and its proof has some applications to the search for surfac
 e subgroups of mapping class groups, and relations between the hyperbolic v
 olume and the knot Floer invariants of fibered hyperbolic knots. This is jo
 int work with Tarik Aougab and Sam Taylor.
DTSTAMP:20260908T090432
DTSTART;TZID=America/New_York:20240123T160000
DTEND;TZID=America/New_York:20240123T170000
SEQUENCE:0
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