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SUMMARY:Locally compact groups with varying finiteness length - Yuri Santo
 s Rego (Lincoln)
DTSTART:20241018T124500Z
DTEND:20241018T134500Z
UID:TALK221770@talks.cam.ac.uk
CONTACT:Francesco Fournier-Facio
DESCRIPTION:We shall discuss in this talk finiteness (or compactness) prop
 erties for locally compact groups that extend the notions of 'finite' (com
 pact) generation and of 'finite' (compact) presentation. We will see what 
 is currently known about groups with specified compactness properties\, an
 d shifting focus to the totally disconnected case I shall present a constr
 uction of (nondiscrete) tdlc groups with prescribed compactness properties
 . Along the way we obtain some other results: a new family of (discrete) T
 hompson-like groups containing\, for every n\, groups of homological type 
 FP_n but not of type FP_{n+1}\; and a family of tdlc groups acting nicely 
 on some CAT(0) cube complexes.\nThis is ongoing joint work with Ilaria Cas
 tellano\, Bianca Marchionna\, and Brita Nucinkis.
LOCATION:MR13
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