Schwartz $\kappa$-densities for the moduli stack of rank $2$ bundles on a curve over a local field

Alexander Braverman, David Kazhdan, Alexander Polishchuk

Let $\mathrm{Bun}$ be the moduli stack of rank $2$ bundles with fixed determinant on a smooth proper curve $C$ over a local field $F$. We show how to associate with a Schwartz $\kappa$-dens…