Dialogues Between Physics and Mathematics

Mo-Lin Ge is Professor at the Chern Institute of Mathematics at Nankai University, China, and academician at the Academy of Science of China. His main research topics are at the interface between theoretical physics and related mathematics, such as Yang-Mills theory and Yang-Baxter systems, especially their applications in physics. He established the Theoretical Physics Section at the Chern Institute, supervised by Prof. C. N. Yang, which has since become one of the global communication centres for mathematical physics.

Yang-Hui He is a Fellow of the London Institute, Professor of Mathematics at City, University of London, Tutor in Mathematics at Merton College, Oxford, and Chang-Jiang Chair of Physics at Nankai University in China. He obtained his BA at Princeton (summa cum laude, Shenstone Prize and Kusaka Prize), MA at Cambridge (Distinction, Tripos), and PhD at MIT. After a postdoc at the University of Pennsylvania, he joined Oxford as the FitzJames Fellow and an STFC Advanced Fellow. He works at the interface of string theory, algebraic and combinatorial geometry, and machine learning; he is also a keen public communicator of mathematics and physics.

1 Frank Yang at Stony Brook and the Beginning of Supergravity.- 2. A Stacky Approach to Crystals.- 3 The Potts Model, the Jones Polynomial and Link Homology.- 4 The Penrose-Onsager-Yang Approach to Superconductivity and Superfluidity.- 5 Quantum Operads.- 6 Quantum computational complexity with
photons and linear optics.- 7 Quantized Twistors, G2*, and the Split Octonions.- 8 Kronecker Anomalies and Gravitational Striction.- 9 Projecting Local and Global Symmetries to the Planck Scale.- 10 Gauge Symmetry in Shape Dynamics.- 11 Why Does Quantum Field Theory In Curved Spacetime Make Sense? And What Happens To The Algebra of Observables In The Thermodynamic Limit?.- 12 Quantum Anomalous Hall Effect.- 13 Magic Superconducting States in Cuprates.