Семинар лаборатории алгебраической геометрии: Dennis Gaitsgory (Harvard)

На семинаре выступит Dennis Gaitsgory (Harvard) с докладом The "restricted" stack of local systems and geometric Langlands with nilpotent singular support

Аннотация: We define a new geometric object, called the "restricted" stack of local systems, which exists in the context of any sheaf theory. We show that the category of sheaves (constructible, D-modules or l-adic) on Bun(G) with nilpotent singular support admits a spectral decomposition along this stack, and we'll formulate a version of the geometric Langlands conjecture in this context. In the case of l-adic sheaves when the ground field is finite field, we'll formulate a conjecture that relates the geometric and function-theoretic situations.