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SUMMARY:Jim Belk (University of St Andrews)
DTSTART;VALUE=DATE-TIME:20200616T190000Z
DTEND;VALUE=DATE-TIME:20200616T200000Z
DTSTAMP;VALUE=DATE-TIME:20200812T025010Z
UID:OSUGGT/1
DESCRIPTION:Title: On Finitely Presented Groups that Contain Q\nby Jim Bel
k (University of St Andrews) as part of Ohio State Topology and Geometric
Group Theory Seminar\n\n\nAbstract\nIt is a consequence of Higman's embedd
ing theorem that the additive group Q of rational numbers can be embedded
into a finitely presented group. Though Higman's proof is constructive\, t
he resulting group presentation would be very large and ungainly. In 1999\
, Martin Bridson and Pierre de la Harpe asked for an explicit and "natural
" example of a finitely presented group that contains an embedded copy of
Q. In this talk\, we describe some solutions to this problem related to Th
ompson's groups F\, T\, and V\, including a new simple group of type F inf
inity that contains Q. This is joint work with James Hyde and Francesco Ma
tucci.\n
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SUMMARY:Johnny Nicholson (University College London)
DTSTART;VALUE=DATE-TIME:20200714T180000Z
DTEND;VALUE=DATE-TIME:20200714T190000Z
DTSTAMP;VALUE=DATE-TIME:20200812T025010Z
UID:OSUGGT/2
DESCRIPTION:Title: Projective modules and the homotopy classification of C
W-complexes\nby Johnny Nicholson (University College London) as part of Oh
io State Topology and Geometric Group Theory Seminar\n\n\nAbstract\nA basi
c question in the homotopy classification of CW-complexes is to ask for wh
ich finitely presented groups $G$ does $X \\vee S^2 \\simeq Y \\vee S^2$ i
mply $X \\simeq Y$\, where $X$ and $Y$ are finite 2-complexes with fundame
ntal group $G$. Despite early interest by Cockroft-Swan and Dyer-Sieradski
\, it wasn’t until 1976 that examples of non-cancellation were found by
Dunwoody and Metzler. This led Browning to complete the classification in
the finite abelian case. In recent years\, applications to Wall’s D2 pro
blem and the classification of manifolds have sparked renewed interest in
this problem. In this talk\, we will show how the case where $G$ has perio
dic cohomology can largely be reduced to a question about projective $\\ma
thbb{Z} G$ modules. We then resolve this by generalising results of Swan f
rom the 1980s.\n
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SUMMARY:Mauricio Bustamante (University of Cambridge)
DTSTART;VALUE=DATE-TIME:20201027T150000Z
DTEND;VALUE=DATE-TIME:20201027T160000Z
DTSTAMP;VALUE=DATE-TIME:20200812T025010Z
UID:OSUGGT/3
DESCRIPTION:Title: Diffeomorphisms of solid tori\nby Mauricio Bustamante (
University of Cambridge) as part of Ohio State Topology and Geometric Grou
p Theory Seminar\n\nInteractive livestream: https://osu.zoom.us/j/92136148
494\nAbstract: TBA\n
URL:https://osu.zoom.us/j/92136148494
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