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p-adic cohomology of the Drinfeld half-space

Connections for Women: Derived Algebraic Geometry, Birational Geometry and Moduli Spaces January 28, 2019 - January 30, 2019

January 30, 2019 (09:30 AM PST - 10:30 AM PST)
Speaker(s): Wieslawa Niziol (Institut de Mathématiques de Jussieu)
Location: MSRI: Simons Auditorium
  • cohomology

  • Drinfeld half-space

  • Steinberg

Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC



We will compute the p-adic integral etale cohomology of the Drinfeld half-space. Via the integral comparison theorem of Bhatt-Morrow-Scholze this reduces to a computation of the integral de Rham cohomology. This is a joint work with Pierre Colmez and Gabriel Dospinescu.

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