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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:On finitarily approximable groups - Andreas Thom (
Technische Universität Dresden)
DTSTART;TZID=Europe/London:20170508T143000
DTEND;TZID=Europe/London:20170508T153000
UID:TALK72374AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/72374
DESCRIPTION:Starting with the work of Gromov on Gottschalk&rsq
uo\;s Surjunctivity Conjecture\, the class of sofi
c groups has attracted much interest in various ar
eas of mathematics. Major applications of this not
ion arose in the work Elek and Szabo on Kaplansky&
rsquo\;s Direct Finiteness Conjecture\, Lü\;ck
&rsquo\;s Determinant Conjecture\, and more recent
ly in joint work with Klyachko on generalizations
of the Kervaire-Laudenbach Conjecture and Howie&rs
quo\;s Conjecture. Despite considerable effort\, n
o non-sofic group has been found so far. In view o
f this situation\, attempts have been made to prov
ide variations of the problem that might be more a
pproachable. Using the seminal work of Nikolov-Seg
al\, we prove that the topological group SO(3) is
not weakly sofic and describe the class of discret
e groups that is approximable by finite solvable g
roups. (This is joint work with Jakob Schneider an
d Nikolay Nikolov.)

LOCATION:Seminar Room 1\, Newton Institute
CONTACT:INI IT
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