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UID:ab1ad8e8cdb2eecaf0eceebeb98310ba
CATEGORIES:Topology/Geometry Seminar
CREATED:20230227T104710
SUMMARY:Circle homeomorphisms and shear coordinates with l^2 structure
LOCATION:Online (Click on the Zoom link)
DESCRIPTION:Seminar webpage: https://sites.google.com/view/rutgersgeometrytopologysemin
 ar/home (https://sites.google.com/view/rutgersgeometrytopologyseminar/home)
 \nZoom link: https://rutgers.zoom.us/j/93519901180?pwd=bndOeGs5Umk1T050OTdU
 TjRGTHdGdz09\n
X-ALT-DESC;FMTTYPE=text/html:<p>Seminar webpage:&nbsp;<a href="https://sites.google.com/view/rutgersgeom
 etrytopologyseminar/home">https://sites.google.com/view/rutgersgeometrytopo
 logyseminar/home</a></p><p>Zoom link:&nbsp;<a href="https://rutgers.zoom.us
 /j/93519901180?pwd=bndOeGs5Umk1T050OTdUTjRGTHdGdz09">https://rutgers.zoom.u
 s/j/93519901180?pwd=bndOeGs5Umk1T050OTdUTjRGTHdGdz09</a></p>
CONTACT:Catherine Wolfram (MIT)
X-EXTRAINFO:Abstract:\nI will explain discrete coordinates called shears, indexed by th
 e edges of the Farey tessellation, for homeomorphisms of the circle up to M
 obius transformations. Separately I will introduce the Weil-Petersson class
  of circle homeomorphisms coming form Teichmuller theory. The main goal of 
 the talk will be to understand the relationship between the Weil-Petersson 
 class and spaces of circle homeomorphisms defined in terms of shears. Motiv
 ated by the situation for piecewise-Mobius homeomorphisms (corresponding to
  maps with finitely many nonzero shears), I will define a simple variant of
  shear coordinates called diamond shears (one diamond shear corresponds to 
 four regular shears). I will show that the class of circle homeomorphisms w
 ith square-summable diamond shears is very close but slightly smaller than 
 the Weil-Petersson class. This is joint work with Dragomir Saric and Yilin 
 Wang.
DTSTAMP:20260828T185710
DTSTART;TZID=America/New_York:20230307T160000
DTEND;TZID=America/New_York:20230307T170000
SEQUENCE:0
TRANSP:OPAQUE
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