BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Counting incompressible surfaces in 3-manifolds - Nathan Dunfield 
 (University of Illinois)
DTSTART:20200214T134500Z
DTEND:20200214T144500Z
UID:TALK134986@talks.cam.ac.uk
CONTACT:76015
DESCRIPTION:Counting embedded curves on a hyperbolic surface as a function
  of their length has been much studied by Mirzakhani and others. I will di
 scuss analogous questions about counting incompressible surfaces in a hype
 rbolic 3-manifold\, with the key difference that now the surfaces themselv
 es have intrinsic topology. As there are only finitely many incompressible
  surfaces of bounded Euler characteristic up to isotopy in a hyperbolic 3-
 manifold\, it makes sense to ask how the number of isotopy classes grows a
 s a function of the Euler characteristic. Using Haken’s normal surface t
 heory and facts about branched surfaces\, we can characterize not just the
  rate of growth but show it is (essentially) a quasi-polynomial. Moreover\
 , our method allows for explicit computations in reasonably complicated ex
 amples. This is joint work with Stavros Garoufalidis and Hyam Rubinstein.
LOCATION:CMS\, MR13
END:VEVENT
END:VCALENDAR