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- Title
On the Iwasawa theory of the Lubin–Tate moduli space.
- Authors
Kohlhaase, Jan
- Abstract
We study the affine formal algebra $R$ of the Lubin–Tate deformation space as a module over two different rings. One is the completed group ring of the automorphism group $\Gamma $ of the formal module of the deformation problem, the other one is the spherical Hecke algebra of a general linear group. In the most basic case of height two and ground field $\mathbb {Q}_p$, our structure results include a flatness assertion for $R$ over the spherical Hecke algebra and allow us to compute the continuous (co)homology of $\Gamma $ with coefficients in $R$.
- Subjects
IWASAWA theory; MODULI theory; AFFINE algebraic groups; AUTOMORPHISM groups; HECKE algebras
- Publication
Compositio Mathematica, 2013, Vol 149, Issue 5, p793
- ISSN
0010-437X
- Publication type
Article
- DOI
10.1112/S0010437X12000723