${\mathrm{PGL}}_n(\mathbb{C})$-character stacks and Langlands duality over finite fields

Emmanuel Letellier, Tommaso Scognamiglio

In this paper we study the mixed Poincaré polynomial of generic ${\mathrm{PGL}}_n(\mathbb{C})$-character stacks with coefficients in some local systems arising from the conjugacy cla…