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SUMMARY:On the degree of regular quantum graphs - Junichiro Matsuda (Unive
 rsity of Waterloo)
DTSTART:20241203T090000Z
DTEND:20241203T100000Z
UID:TALK218602@talks.cam.ac.uk
DESCRIPTION:The theory of quantum graphs has developed in the last decade 
 due to the interaction between quantum information theory\, quantum groups
 \, and operator algebras. It is natural to expect regular quantum graphs t
 o admit spectral characterization of their properties as classical graphs 
 do.&nbsp\;\nThe degree of a regular finite quantum graph may not be an int
 eger in general because it is just an eigenvalue of the adjacency matrix a
 nd we can no longer count the number of edges one by one. However\, in the
  tracial case\, we obtained that the degree is indeed an integer. The clue
  is a characterization of regularity in terms of the operator bimodule ass
 ociated with the quantum graph.This is a joint work with Matthew Kennedy a
 nd Larissa Kroell.
LOCATION:Seminar Room 1\, Newton Institute
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