BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Macarena Arenas (Cambridge)
DTSTART:20220210T150500Z
DTEND:20220210T155500Z
DTSTAMP:20260423T021100Z
UID:GaTO/56
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GaTO/56/">A 
 cubical Rips construction</a>\nby Macarena Arenas (Cambridge) as part of G
 eometry and topology online\n\n\nAbstract\nThe Rips exact sequence is a us
 eful tool for\n        producing examples of groups satisfying combination
 s of\n        properties that are not obviously compatible.  It works by\n
         taking as an input an arbitrary finitely presented group\n        
 \\(Q\\)\, and producing as an output a hyperbolic group \\(G\\)\n        t
 hat maps onto \\(Q\\) with finitely generated kernel.  The\n        "outpu
 t group" \\(G\\) is crafted by adding generators and\n        relations to
  a presentation of \\(Q\\)\, in such a way that these\n        relations c
 reate enough "noise" in the presentation to ensure\n        hyperbolicity.
   One can then lift pathological properties of\n        \\(Q\\) to (some s
 ubgroup of) \\(G\\).  Among other things\, Rips\n        used his construc
 tion to produce the first examples of\n        incoherent hyperbolic group
 s\, and of hyperbolic groups with\n        unsolvable generalised word pro
 blem.\n\n        In this talk\, I will explain Rips' result\, mention some
  of its\n        variations\, and survey some tools and concepts related t
 o\n        these constructions\, including small cancellation theory\,\n  
       cubulated groups\, and asphericity.  Time permitting\, I will\n     
    describe a variation of the Rips construction that produces\n        cu
 bulated hyperbolic groups of any desired cohomological\n        dimension.
 \n
LOCATION:https://researchseminars.org/talk/GaTO/56/
END:VEVENT
END:VCALENDAR