AbstractIn this talk we will review Witten’s work on understanding knot invariants based on Chern-Simons theory. We will first introduce the physics observables in Chern-Simons theory which correspond to knot invariants and talk about why they are topological invariants. After a short introduction about the quantization of Chern-Simons theory, we will review how to understand skein relations a...
AbstractIn this talk, we will focus on symmetry of PDE and report some relation with deep learning. It is a well known fact that Lie group is a fundamental tool to describe the symmetry. In the first part, basic preliminaries about symmetry group will be interpreted as prior knowledge
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