Number Theory Seminar

Rigid local systems and geometric Langlands


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.