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DTSTART:20230312T070000
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DTSTART:20231105T060000
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DTSTART;TZID=America/Toronto:20231130T163000
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URL:https://uwaterloo.ca/pure-mathematics/events/analysis-seminar-172
SUMMARY:Analysis Seminar
CLASS:PUBLIC
DESCRIPTION:JUNICHIRO MATSUDA\, KYOTO UNIVERSITY\n\n\"ALGEBRAIC CONNECTEDNE
 SS AND BIPARTITENESS OF QUANTUM GRAPHS\"\n\nQuantum graphs are a non-commu
 tative analogue of classical graphs\nrelated to operator algebras\, quantu
 m information\, quantum groups\,\netc. In this talk\, I will give a brief 
 introduction to quantum graphs\nand talk about spectral characterizations 
 of properties of quantum\ngraphs. We introduce the notion of connectedness
  and bipartiteness of\nquantum graphs in terms of graph homomorphisms\, an
 d these properties\nhave algebraic characterizations in the same way as cl
 assical cases.\nWe also show the equivalence between bipartiteness and\ntw
 o-colorability of quantum graphs defined by two notions of graph\nhomomorp
 hisms: one respects adjacency matrices\, and the other respects\nedge spac
 es. This talk is based on arXiv:2310.09500.\n\nThis seminar will be held b
 oth online and in person:\n\n* Room: MC 5479\n * Zoom link:\nhttps://uwate
 rloo.zoom.us/j/94186354814?pwd=NGpLM3B4eWNZckd1aTROcmRreW96QT09
DTSTAMP:20260505T204717Z
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