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DTSTART;TZID=America/Toronto:20251024T143000
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URL:https://uwaterloo.ca/pure-mathematics/events/logic-seminar-80
LOCATION:MC - Mathematics & Computer Building 200 University Avenue West Wa
 terloo ON N2L 3G1 Canada
SUMMARY:Logic Seminar
CLASS:PUBLIC
DESCRIPTION:CHRIS KARPINSKI\, MCGILL UNIVERSITY\n\n_Relativizing computable
  categoricity_\n\nA metric space is hyperbolic if geodesic triangles in th
 e metric space\nare uniformly slim. To any hyperbolic metric space\, one c
 an associate\na boundary at infinity\, a topological space called the Grom
 ov\nboundary. A group acting on a hyperbolic metric space by isometries\ni
 nduces an action on the associated Gromov boundary by homeomorphisms.\nGiv
 en a hyperbolic space equipped with an action of a group\, one can\nthen s
 tudy the orbit equivalence relation of the boundary action. We\nshow that 
 a class of groups of interest in geometric group theory\,\ndefined using g
 raphical small cancellation theory\, induce hyperfinite\norbit equivalence
  relations on the boundaries of their natural\nhyperbolic Cayley graphs\, 
 meaning roughly that the orbits look like\nlines. This is joint work with 
 Damian Osajda and Koichi Oyakawa.\n\nMC 5403
DTSTAMP:20260503T081336Z
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