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Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, No. 532=21, 2017.

Original scientific paper

https://doi.org/10.21857/yvjrdcnqpy

Some extensions of the notion of loop Grassmannians

Ivan Mirković ; Department of Mathematics and Statistics, University of Massachusetts at Amherst, Amherst MA 01003-4515, USA

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Abstract

We report an ongoing attempt to establish in algebraic geometry certain analogues of topological ideas, The main goal is to associate to a scheme X over a commutative ring k its “relative motivic homology” which is again an algebro geometric object over the base k. This is motivated by Number Theory, so the Poincaré duality for this relative motivic homology should be an algebro geometric incarnation of Class Field Theory.

Keywords

Loop Grassmannian; class field theory; motivic homology

Hrčak ID:

186430

URI

https://hrcak.srce.hr/186430

Publication date:

13.9.2017.

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