TOWARDS SPECTRAL GEOMETRY FOR QUANTUM TREES

Speaker(s)

ARKADIUSZ BOCHNIAK

Affiliation

Uniwersytet Jagielloński, Kraków, Poland

Language of the talk

English

Date

Nov. 4, 2026, 5:15 p.m.

Title in Polish

TOWARDS SPECTRAL GEOMETRY FOR QUANTUM TREES

Seminar

North Atlantic Noncommutative Geometry Seminar

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Motivated by the spectral properties of Laplace operators on
classical graphs, we propose a quantum analogue based on incidence
operators, and investigate their properties. This leads to the notion of
a quantum tree, a quantum analogue of a classical tree graph. We study
the properties of these objects and propose a spectral-geometric
approach to their analysis using tools from the theory of spectral
triples. This is joint work in progress with Dawid Jasiński, Paweł
Kasprzak, Andrzej Sitarz, and Piotr M. Sołtan.

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