MOST QUANTUM GRAPHS HAVE LIMITED (QUANTUM) SYMMETRY

Prelegent(ci)

ALEXANDRU CHIRVASITU

Afiliacja

SUNY Buffalo, USA

Język referatu

angielski

Termin

15 kwietnia 2026 17:15

Informacje na temat wydarzenia

IMPAN 405 & ZOOM

Tytuł w języku polskim

MOST QUANTUM GRAPHS HAVE LIMITED (QUANTUM) SYMMETRY

Seminarium

North Atlantic Noncommutative Geometry Seminar

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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.)

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