On the formal degree conjecture for simple supercuspidal representations

29 Aug 2019 Mieda Yoichi

We prove the formal degree conjecture for simple supercuspidal representations of symplectic groups and quasi-split even special orthogonal groups over a p-adic field, under the assumption that p is odd. The essential part is to compute the Swan conductor of the exterior square of an irreducible local Galois representation with Swan conductor 1... (read more)

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  • NUMBER THEORY