Whittaker coefficients of geometric Eisenstein series

Abstract

Geometric Langlands predicts an isomorphism between Whittaker coefficients of Eisenstein series and functions on the moduli space of $\check{N}$-local systems. We prove this formula by interpreting Whittaker coefficients of Eisenstein series as factorization homology and then invoking Beilinson and Drinfeld's formula for chiral homology of a chiral enveloping algebra.

References in corpus (2)

• The stack of local systems with restricted variation and geometric Langlands theory with nilpotent singular support
• Non-vanishing of geometric Whittaker coefficients for reductive groups