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X-WR-CALDESC:Montana State University Social Calendar Brief Feed
X-WR-TIMEZONE:America/Denver
BEGIN:VEVENT
UID:20190823T032401CEST-8591Vh0i7e@ical.php
DTSTAMP:20190823T010801Z
CLASS:PUBLIC
DESCRIPTION:Culler-Shalen theory uses a 3-manifold’s (P)SL(2\,C) character
variety to construct essential surfaces in the manifold. It has been a fun
damental tool over the last 35 years in low-dimensional topology. Much of
its success is due to a solid understanding of the essential surfaces with
boundary that can be constructed with the theory. It turns out\, however\
, that not every surface with boundary is detected. Moreover\, one can als
o construct closed essential surfaces within this framework. In this talk\
, we will discuss a module-theoretic perspective on Culler-Shalen theory a
nd apply this perspective to show that there are knot complements in whic
h contain closed essential surfaces\, none of which are detected by Culler
-Shalen theory. As a corollary\, we will construct an infinite family of c
losed hyperbolic Haken 3-manifolds whose representations into PSL(2\, C) h
ave a special number-theoretic property.
DTSTART:20190220T160000
DTEND:20190220T170000
LOCATION:Wilson Hall\, 1-144
SUMMARY:Searching for closed essential surfaces in knot complements with ch
aracter varieties
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