CORDIS Project
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This project explores the connections between advanced mathematical theories and quantum physics, focusing on quantum cluster varieties and representation theory. It aims to develop new invariants of links and 3-manifolds, enhancing our understanding of supersymmetric gauge theories and their applications in quantum ch…
Over the past 30 years, deep connections between Chern–Simons theory, supersymmetric (SUSY) gauge theory, and representation theory of quantum groups, have caused an avalanche of research in mathematics and physics.
In this proposal I use quantum cluster varieties to develop positive representation theory of quantum groups and a non-compact analogue of Chern–Simons theory. I also obtain new invariants of links and 3-manifolds, and establish new connections between SUSY gauge theories and quantum…
THE UNIVERSITY OF EDINBURGH
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