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Commutative character sheaves and geometric types for supercuspidal representations

Commutative character sheaves and geometric types for supercuspidal representations

We show that some types for supercuspidal representations of tamely ramified p-adic groups that appear in Jiu-Kang Yu’s work are geometrizable. To do so, we define a function-sheaf dictionary for one-dimensional characters of arbitrary smooth group schemes over finite fields. In previous work we considered the case of commutative smooth …