郑浩

孔良

2021年10月20日 13:30 至 15:00

1131

Tencent 221 127 893 ()

The title is motivated from the well-known Global Differential Geometry but has a slightly different meaning. Condensed matter theorists usually begin their studies from a concrete quantum many-body system (a lattice model with a concrete Hamiltonian). In this talk, I will explain a wave of new ideas of studying all/many quantum many-body systems at the same time. More precisely, we will study the categories of all gapped/gapless quantum liquid phases. For this reason, I will call this line of ideas "a Global Condensed Matter Theory". Some universal features of quantum liquid phases are emergent from this study. I will briefly outline them and discuss their consequences. As we will see, a new mathematical framework unifying all quantum liquid phases, including topological orders, SPT/SET orders, symmetry-breaking phases and gapless liquid phases, are emerging.

Liang Kong is a mathematical physicist at the Shenzhen International Quantum Academy. His research focuses on topological quantum field theory, two-dimensional conformal field theory, category theory, representation theory, and topological phases of matter. He received his B.S. in Physics from the University of Science and Technology of China, his M.S. in Physics from the University of Houston, and his Ph.D. in Mathematics from Rutgers University. He subsequently held research positions at the Max Planck Institute for Mathematics, the Institut des Hautes Études Scientifiques (IHÉS), and the California Institute of Technology. He later held positions at the Institute for Advanced Study at Tsinghua University, the University of New Hampshire, Harvard University’s Center of Mathematical Sciences and Applications, the Yau Mathematical Sciences Center at Tsinghua University, and the Institute for Quantum Science and Engineering at the Southern University of Science and Technology. He joined the Shenzhen International Quantum Academy in 2025.