Emanuel Reinecke (IHES): Poincare duality for proper morphisms in rigid geometry

While the Z/p-etale cohomology of rigid-analytic varieties is in general hard to control, it becomes more tractable when the varieties are proper. In my talk, I will explain a relative Poincare duality statement for etale cohomology with finite coefficients which applies to any proper morphism of rigid-analytic varieties over nonarchimedean fields of mixed characteristic, confirming an expectation of Bhatt-Hansen. A key ingredient in the proof will be a construction of trace maps for proper morphisms. Joint work with Shizhang Li and Bogdan Zavyalov.

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