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CATEGORIES:Differential Geometry and Topology Seminar
SUMMARY:Cohomological dimension and engulfing - Will Caven
 dish\, Oxford
DTSTART;TZID=Europe/London:20121017T160000
DTEND;TZID=Europe/London:20121017T170000
UID:TALK39879AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/39879
DESCRIPTION:Given a group G and a subgroup H of G\, H is said 
 to be\nengulfed in G if there exists a homomorphis
 m f from G to a\nfinite group such that f(H) is pr
 operly contained in f(G).\nThe statement that H is
  engulfed in G can therefore be thought of\nas say
 ing that H "looks smaller" than G from the perspec
 tive of\nmaps to finite groups.  In this talk we w
 ill discuss the following\nquestion: if H looks sm
 aller than G from the perspective of\ncohomologica
 l dimension\,  is H necessarily engulfed? While th
 ere are\nmany well-known examples that show that t
 he answer to this question is\nno in general\, we 
 will show that engulfing is guaranteed when the\nc
 ohomology rings of objects called mapping solenoid
 s associated to the\npair (G\,H) satisfy certain f
 initeness conditions.
LOCATION:MR13
CONTACT:Ivan Smith
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