# Good Reduction of Affinoids on the Lubin-Tate Tower

@inproceedings{Weinstein2010GoodRO, title={Good Reduction of Affinoids on the Lubin-Tate Tower}, author={Jared Weinstein}, year={2010} }

We analyze the geometry of the tower of Lubin- Tate deformation spaces, which parametrize deformations of a one- dimensional formal module of height h together with level structure. According to the conjecture of Deligne-Carayol, these spaces realize the local Langlands correspondence in their `-adic cohomology. This conjecture is now a theorem, but currently there is no purely local proof. Working in the equal characteristic case, we find a family of affinoids in the Lubin-Tate tower with good… CONTINUE READING

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