On an invariant bilinear form on the space of automorphic forms via asymptotics
On an invariant bilinear form on the space of automorphic forms via asymptotics
This article concerns the study of a new invariant bilinear form $\mathcal B$ on the space of automorphic forms of a split reductive group $G$ over a function field. We define $\mathcal B$ using the asymptotics maps from Bezrukavnikov-Kazhdan and Sakellaridis-Venkatesh, which involve the geometry of the wonderful compactification of …