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SUMMARY:Arseniy Sheydvasser (Graduate Center at CUNY)
DTSTART:20200518T200000Z
DTEND:20200518T210000Z
DTSTAMP:20260423T005659Z
UID:ADM-Davis/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ADM-Davis/6/
 ">Algebraic invariants of hyperbolic 4-orbifolds</a>\nby Arseniy Sheydvass
 er (Graduate Center at CUNY) as part of UC Davis algebra & discrete math s
 eminar\n\n\nAbstract\nGiven an algebraic subgroup G of the isometry group 
 of hyperbolic n-space $H^n$\, one can consider the orbifold $H^n/G$. Hyper
 bolic 2- and 3-orbifolds are reasonably well-understood\; for example\, hy
 perbolic 3-orbifolds correspond to orders of split quaternion algebras and
  there are algorithms that make use of this structure to compute geometric
  invariants of the orbifolds such as their volume\, numbers of cusps\, and
  fundamental groups. However\, already hyperbolic 4-orbifolds belong to un
 tamed wilds. We shall examine this frontier by introducing a class of alge
 braic groups that have many of the same properties as the Bianchi groups a
 nd for which we can compute some geometric invariants of the orbifolds via
  algebraic invariants of rings with involution.\n
LOCATION:https://researchseminars.org/talk/ADM-Davis/6/
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