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URL:https://uwaterloo.ca/pure-mathematics/events/analysis-seminar-205
SUMMARY:Analysis Seminar
CLASS:PUBLIC
DESCRIPTION:JOSSE VAN DOBBEN DE BRUYN\, CHARLES UNIVERSITY\n\n_Asymmetric g
 raphs with quantum symmetry_\n\nQuantum isomorphisms of graphs form a brid
 ge between noncommutative\ngeometry (NCG) and quantum information theory (
 QIT)\, as they connect\nquantum automorphism groups of graphs with nonloca
 l games. This makes\nit possible to use techniques from QIT in NCG and vic
 e versa. In this\ntalk\, I will present a striking application of this con
 nection\, where\nwe use ideas from QIT to prove a surprising result in NCG
 . Using a\nconstruction similar to the Mermin–Peres magic square from QI
 T\, we\nconstruct graphs with trivial automorphism group and non-trivial\n
 quantum automorphism group\, which shows that even graphs with no\nsymmetr
 y at all can have hidden quantum symmetries. These are the\nfirst known ex
 amples of any kind of commutative spaces in NCG with\nthis property.\n\nTh
 is talk is based on joint work with David E. Roberson (Technical\nUniversi
 ty of Denmark) and Simon Schmidt (Ruhr University Bochum).\n\nQNC 1507 or 
 Join on Zoom
DTSTAMP:20260501T190131Z
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