Abstract

Rigid local systems are local systems determined by their local monodromies. Many classical local systems, including Bessel, Airy, and hypergeometric, appear to be rigid. On the other hand, a similar rigidity phenomenon occurs on the automorphic side, called rigid automorphic data. It is expected that these two rigidities are connected via the geometric Langlands correspondence. In this talk, I will introduce the related basic notions and results, as well as some more recent progress in this direction.