Dennis Gaitsgory - 1/4 Singular support of coherent sheaves
Channel: Institut des Hautes Études Scientifiques (IHÉS)
Date: 2015-05-23

Singular support is an invariant that can be attached to a coherent sheaf on a derived scheme which is quasi-smooth (a.k.a. derived locally complete intersection). This invariant measures how far a given coherent sheaf is from being perfect. We will explain how the subtle difference between "coherent" and "perfect" is responsible for the appearance of Arthur parameters in the context of geometric Langlands correspondence.