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DTSTART;TZID=America/Toronto:20251023T160000
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URL:https://uwaterloo.ca/pure-mathematics/events/analysis-seminar-204
LOCATION:QNC - Quantum Nano Centre 200 University Avenue West Waterloo ON N
 2L 3G1 Canada
SUMMARY:Analysis Seminar
CLASS:PUBLIC
DESCRIPTION:JUNICHIRO MATSUDA\, DEPARTMENT OF PURE MATHEMATICS\, UNIVERSITY
  OF\nWATERLOO \n\n_Quantum graphs violate the classical characterization o
 f the\nexistence of d-regular graphs. _\n\nQuantum graphs are a non-commut
 ative analogue of classical graphs that\nreplace the function algebra on v
 ertices with C*-algebras. It is known\nthat classical simple _d_-regular g
 raphs on _n _points exist if and\nonly if _dn_ is even. This is false fo
 r quantum graphs in both\ndirections. We provide a necessary condition on 
 the number of quantum\nedges between quantum vertices (matrix summands) to
  make it a\n_d_-regular quantum graph. Using this technique\, we also desc
 ribe\n_1_-regular or _2_-regular quantum graphs on general tracial quantum
 \nsets. _1_-regular quantum graphs have quantum edges only between\nsumman
 ds of the same size. Centrally connected $2$-regular quantum\ngraphs are c
 lassified into 8 families by their central skeleton. This\nis a joint work
  with Matthew Kennedy and Larissa Kroell.\n\nHybrid - QNC\n1507\, https:/
 /uwaterloo.zoom.us/j/94186354814?pwd=NGpLM3B4eWNZckd1aTROcmRreW96QT09
DTSTAMP:20260502T041543Z
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