Date: Thursday, April 06, 2017
Location: 1866 East Hall (4:10 PM to 5:30 PM)
Title: Integral etale cohomology of nonArchimedean analytic spaces
Abstract: In my work in progress on complex analytic vanishing cycles for formal schemes, I've defined integral "etale" cohomology groups of a compact strictly analytic space over the field of Laurent power series with complex coefficients. These are finitely generated abelian groups provided with a quasiunipotent action of the fundamental group of the punctured complex plane, and they give rise to all ladic etale cohomology groups of the space. After a short survey of this work, I'll explain a theorem which, in the case when the space is rigsmooth, compares those groups and the de Rham cohomology groups of the space. The latter are provided with the GaussManin connection and an additional structure which allow one to recover from them the "etale" cohomology groups with complex coefficients.
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Speaker: Vladimir Berkovich
Institution: Weizmann Institute of Science
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