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SUMMARY:Karen Vogtmann (University of Warwick)
DTSTART:20200617T120000Z
DTEND:20200617T130000Z
DTSTAMP:20260423T010943Z
UID:AGSeminar/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AGSeminar/8/
 ">Outer space for RAAGs</a>\nby Karen Vogtmann (University of Warwick) as 
 part of Sapienza A&G Seminar\n\n\nAbstract\nIn recent years right-angled A
 rtin groups (RAAGs) have assumed a prominent place in geometric group theo
 ry and related fields\,\nNow attention is also being focused on their (out
 er) automorphism groups.  The most well-understood examples of outer autom
 orphism groups of RAAGs are $\\mathbf{GL}(n\,\\mathbb{Z})$ and $\\mathbf{O
 ut}(F_n)$.  $\\mathbf{GL}(n\,\\mathbb{Z})$ can be profitably studied via i
 ts action on the symmetric space of marked lattices\, and $\\mathbf{Out}(F
 _n)$ via its action on Outer space.  We propose an analogous ``outer space
 '' generalizing both of these\, on which the outer automorphism group of a
 n arbitrary RAAG acts properly\, and we prove this space is contractible. 
  \n\nThis is joint work with Corey Bregman and Ruth Charney.\n
LOCATION:https://researchseminars.org/talk/AGSeminar/8/
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