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Algebraic Geometry Seminar

Refined unramified cohomology and algebraic cycles
Wednesday, December 2, 2020
4:00-5:00 PM
Zoom Off Campus Location
We introduce refined unramified cohomology. This notion allows us to give in arbitrary degree a cohomological interpretation of the failure of integral Hodge- or Tate-type conjectures, of l-adic Griffiths groups, and of the subgroup of the Griffiths group that consists of torsion classes with trivial transcendental Abel-Jaocbi invariant. Our approach simplifies and generalizes to cycles of arbitrary codimension previous results of Bloch-Ogus, Colliot-Thélène-Voisin, Voisin, and Ma that concerned cycles of codimension two or three. We give several applications that indicate how this approach can be used to study algebraic cycles in concrete examples. Speaker(s): Stefan Schreieder (Leibniz University Hannover)
Building: Off Campus Location
Location: Off Campus Location
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics, Algebraic Geometry Seminar - Department of Mathematics