The Fields Medallists

Collection The Fields Medallists

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Local acyclicity in $p$-adic geometry

By Peter Scholze

Also appears in collections : $p$-adic Langlands correspondence, Shimura varieties and perfectoids / Correspondance de Langlands $p$-adique, variétés de Shimura et perfectoïdes, Fields medallists - 2018

Motivated by applications to the geometric Satake equivalence and in particular the construction of the fusion product, we define a notion of universally locally acyclic for rigid spaces and diamonds, and prove that it has the expected properties.

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Citation data

  • DOI 10.24350/CIRM.V.19419103
  • Cite this video SCHOLZE, Peter (03/07/2018). Local acyclicity in $p$-adic geometry. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19419103
  • URL https://dx.doi.org/10.24350/CIRM.V.19419103

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