Rigid local systems over algebraic curves are those local systems determined by their local monodromies. They include many important classical local systems, such as those obtained from Bessel equations, Hypergeometric equations, and Airy equations. In this talk, I will recollect some basic facts and examples of rigid local systems and introduce a framework proposed by Yun on constructing rigid local systems from Geometric Langlands correspondence, which he called rigid automorphic data. I will exhibit various examples and properties of rigid local systems obtained from Geometric Langlands in my (joint) works.
