TOWARDS SPECTRAL GEOMETRY FOR QUANTUM TREES

Prelegent(ci)

ARKADIUSZ BOCHNIAK

Afiliacja

Uniwersytet Jagielloński, Kraków, Poland

Język referatu

angielski

Termin

4 listopada 2026 17:15

Informacje na temat wydarzenia

IMPAN 405 & ZOOM

Tytuł w języku polskim

TOWARDS SPECTRAL GEOMETRY FOR QUANTUM TREES

Seminarium

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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