摘要：In recent decades the advances in our knowledge of ???the physical world have been closely connected to the progressions ?in ???mathematics. I will begin the talk by reviewing some of the most ???important such examples, in both the physics of fundamental ?particles ???and the physics of electrons in solid materials; along ?the way I will ???introduce some background mindsets and motivations ?of working ???physicists. Then I will talk about our recent studies on ?physics ???theories in which the topological aspects have non-trivial ?interplay ???with the non-topological aspects, including topological ?quantum field ???theories (with or without symmetry protection) that ?are not fully ???extended and thus have non-topological physics on ?boundary, as well ??as ??some fascinating dualities between ?Chern-Simons-matter theories.

报告人简介：Jing-Yuan Chen is a Member at the Institute for ???Advanced Study at Tsinghua University. He received PhD in Physics ??from ??the University of Chicago, and was a postdoc fellow at ?Stanford ???Institute for Theoretical Physics before the current ?appointment. He ???works on 1) theoretical condensed matter physics, ?including both ???formal developments and experimental ?phenomenologies, 2) formal ???aspects of quantum field theory, and ?more recently, 3) the connection ???between quantum information and gravity.