4 papers
The tilting property of Whittaker averaged central sheaves
Jeremy Taylor
We characterize the kernel of Iwahori-Whittaker averaging in microlocal terms. Applying this to automorphic sheaves, we generalize Faergeman and Raskin's theorem that anti-tempered…
Universal monodromic tilting sheaves
Jeremy Taylor
We construct the universal monodromic big tilting sheaf on base affine space and calculate its endomorphisms. By formal completion, we recover Soergel's pro-unipotent Endomorphisme…
Whittaker coefficients of geometric Eisenstein series
Jeremy Taylor
Geometric Langlands predicts an isomorphism between Whittaker coefficients of Eisenstein series and functions on the moduli space of -local systems. We prove this formul…
The Whittaker functional is a shifted microstalk
David Nadler, Jeremy Taylor
For a smooth projective curve and reductive group , the Whittaker functional on nilpotent sheaves on is expected to correspond to global sections of cohere…