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SUMMARY:Action dimension and L^2 Cohomology - Kevin Schreve (University of
  Michigan)
DTSTART:20170623T090000Z
DTEND:20170623T100000Z
UID:TALK73044@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:<span>Co-authors: Michael Davis		(Ohio State University)\, Gia
 ng Le		()        <br></span><span><br>The action dimension of a group G is
  the minimal dimension of contractible manifold that G acts on properly di
 scontinuously. Conjecturally\, if a group has nontrivial <span><img alt=""
  src="http://www-old.newton.ac.uk/js/MathJax/current/fonts/HTML-CSS/TeX/pn
 g/Math/Italic/141/004C.png"><img alt="" src="http://www-old.newton.ac.uk/j
 s/MathJax/current/fonts/HTML-CSS/TeX/png/Main/Regular/100/0032.png"></span
 >   cohomology in dimension n\, the action dimension of G is bounded below
  by 2n. I will describe examples where this conjecture holds\, including l
 attices in Euclidean buildings\, graph products\, and fundamental groups o
 f some complex hyperplane complements. This will involve joint work with M
 ike Davis and Giang Le\, as well as Grigori Avramidi\, Mike Davis\, and Bo
 ris Okun.&nbsp\;</span>
LOCATION:Seminar Room 1\, Newton Institute
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