Examples of non-algebraic classes in the Brown-Peterson tower

Algebro-Geometric and Homotopical Methods

20 April 11:00 - 12:00

Gereon Quick - NTNU - Norwegian University of Science and Technology

It is a classical problem in algebraic geometry to decide whether a class in the singular cohomology of a smooth complex variety X is algebraic, that is if it can be realized as the fundamental class of an algebraic subvariety of X. One can ask a similar question for motivic spectra. Given a motivic spectrum E, which classes in the topological E-cohomology of X come from motivic classes. I will discuss this question and examples of non-algebraic classes for the tower of Brown-Peterson spectra.
Eric M. Friedlander
University of Southern California
Lars Hesselholt
University of Copenhagen
Paul Arne Østvaer
University of Oslo


Paul Arne Østvaer


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