$p$-adic geometry
| Autor: | Scholze, Peter |
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| Rok vydání: | 2017 |
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| Druh dokumentu: | Working Paper |
| Popis: | We discuss recent developments in $p$-adic geometry, ranging from foundational results such as the degeneration of the Hodge-to-de Rham spectral sequence for "compact $p$-adic manifolds" over new period maps on moduli spaces of abelian varieties to applications to the local and global Langlands conjectures, and the construction of "universal" $p$-adic cohomology theories. We finish with some speculations on how a theory that combines all primes $p$, including the archimedean prime, might look like. Comment: ICM report |
| Databáze: | arXiv |
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