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Diophantine equations, rational points, abelian varieties, Arakelov theory, Iwasawa theory.

5 votes
1 answer
606 views

Hodge-Tate decomposition for formal groups

Hi All, Where can I find a proof of the Hodge-Tate decomposition for Lubin-Tate formal groups? Thanks!
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  • 647
2 votes
1 answer
976 views

Rapoport-Zink proof of purity of monodromy

Hi, Does anyone know if the article "Über die lokale Zetafunktion von Shimuravarietäten. Monodromiefiltration und verschwindene Zyklen in ungleicher Charakteristik", INvent. Math, 68 (1980) by Rapo …
unknown's user avatar
  • 647
8 votes
1 answer
992 views

Is the Galois x Hecke action on cohomology of Shimura varieties semi-simple?

Given a reductive group $G/\mathbf Q$ (+ additional data), and a compact open subgroup $K\subset G(\mathbf A^\infty)$, there is a standard construction that produces a Shimura variety $S$ and if we ch …
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  • 647
5 votes
0 answers
832 views

Motivic Galois group and Shimura varieties

Hi, Suppose that one has a Shimura variety $Sh(G,X)$ where $(G,X)$ is the corresponding Shimura datum and suppose that it can be interpreted as a moduli space of motives (e.g. PEL type Shimura variet …
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  • 647