3 papers
math.RT2026
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…
math.RT2026
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…
math.RT2025
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…