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SUMMARY:Cohen-Macaulay simplicial complexes and duality groups - Thomas Wa
 sserman (University of Oxford)
DTSTART:20240618T083000Z
DTEND:20240618T093000Z
UID:TALK217408@talks.cam.ac.uk
DESCRIPTION:Duality groups are groups that admit a Poincar&eacute\;-dualit
 y-like relationship between their cohomology and their homology twisted by
  a module known as the dualising module. Many interesting groups are (virt
 ually) duality groups\, like free groups and their (outer) automorphisms\,
  mapping class groups\, and the general linear groups over the integers. K
 nowing duality is useful for homology computations\, and the dualising mod
 ule often has a nice interpretation. In this talk I will discuss work with
  Ric Wade where we explore the relationship between groups acting on simpl
 icial complexes that are locally Cohen-Macaulay (meaning that their local 
 homology is concentrated in a single degree and free) and groups having du
 ality\, and the implications this has for the dualising module.&nbsp\;&nbs
 p\;
LOCATION:External
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