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MOST QUANTUM GRAPHS HAVE LIMITED (QUANTUM) SYMMETRY
- Speaker(s)
- ALEXANDRU CHIRVASITU
- Affiliation
- SUNY Buffalo, USA
- Language of the talk
- English
- Date
- April 15, 2026, 5:15 p.m.
- Information about the event
- IMPAN 405 & ZOOM
- Title in Polish
- MOST QUANTUM GRAPHS HAVE LIMITED (QUANTUM) SYMMETRY
- Seminar
- North Atlantic Noncommutative Geometry Seminar
A quantum-graph structure on the ambient noncommutative space dual to the matrix algebra Mn can be encoded as an operator system S contained in Mn. Varying the operator system S while preserving the matrix size provides a convenient model for a random selection of S. There are at least two competing notions of the quantum automorphism group for any given operator system. Our main result is that both are trivial for "most'" operator systems either probabilistically (in the aforementioned random model) or topologically. (Joint work with P. M. Sołtan and M. Wasilewski.)
