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

Presented by: 
Gereon Quick NTNU
Date: 
Friday 28th September 2018 - 11:30 to 12:30
Venue: 
INI Seminar Room 1
Abstract: 
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 would like to discuss this question and examples of non-algebraic classes for the tower of Brown-Peterson spectra.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons