Quantum Symmetry in Multigraphs

In this lecture from the BIMSA-Tsinghua Quantum Symmetry Seminar, Dr. Sk Asfaq Hossain explores the extension of quantum symmetry concepts from simple graphs to finite multigraphs within the category of compact quantum groups. Discover how these constructions naturally build upon the foundational work of Banica and Bichon in the context of simple graphs. The presentation covers various notions of quantum symmetry in multigraphs, providing examples and applications of these constructions. Dr. Hossain, who completed his PhD at the Indian Statistical Institute, Kolkata under Professor Debashish Goswami, presents research that bridges noncommutative mathematics and quantum information theory. The talk is based on his doctoral research, with references to his papers (arXiv:2302.08726, arXiv:2403.00481). Gain insights into this emerging field that has growing significance in both mathematical and physical applications.