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Department of Mathematics,
University of California San Diego

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Math 243: Seminar in Functional Analysis

Nina Kiefer

Universität des Saarlandes

Complete Classification of Quantum Graphs on M2

Abstract:

Over the past few years, the theory of quantum graphs has emerged as a field of growing interest. In 2022, Matsuda and Gromada have given concrete examples by classifying the undirected quantum graphs on the quantum space M2. Based on the solid theory of directed quantum graphs developed in 2024, it became possible to complete the classification of quantum graphs on M2 also in the directed case. We observe that there is a far bigger range of directed quantum graphs than of undirected quantum graphs on M2. This talk is based on a joint work with Björn Schäfer.

October 7, 2025

11:00 AM

APM 6402

Research Areas

Functional Analysis / Operator Theory

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