Published December 31, 2018
| Submitted
Discussion Paper
Open
Bost-Connes systems and F₁-structures in Grothendieck rings, spectra, and Nori motives
Chicago
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Abstract
We construct geometric lifts of the Bost-Connes algebra to Grothendieck rings and to the associated assembler categories and spectra, as well as to certain categories of Nori motives. These categorifications are related to the integral Bost-Connes algebra via suitable Euler characteristic type maps and zeta functions, and in the motivic case via fiber functors. We also discuss aspects of F₁-geometry, in the framework of torifications, that fit into this general setting.
Additional Information
The first and third authors were supported in part by the Perimeter Institute for Theoretical Physics. The third author is also partially supported by NSF grant DMS-1707882, and by NSERC Discovery Grant RGPIN-2018-04937 and Accelerator Supplement grant RGPAS-2018-522593.Attached Files
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Additional details
- Eprint ID
- 103268
- Resolver ID
- CaltechAUTHORS:20200518-093742753
- Perimeter Institute for Theoretical Physics
- NSF
- DMS-1707882
- Natural Sciences and Engineering Research Council of Canada (NSERC)
- RGPIN-2018-04937
- Natural Sciences and Engineering Research Council of Canada (NSERC)
- RGPAS-2018-522593
- Created
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2020-05-18Created from EPrint's datestamp field
- Updated
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2023-06-02Created from EPrint's last_modified field