Lieber, Joshua F. and Manin, Yuri I. and Marcolli, Matilde (2018) Bost-Connes systems and F₁-structures in Grothendieck rings, spectra, and Nori motives. . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20200518-093742753
![[img]](https://authors.library.caltech.edu/style/images/fileicons/application_pdf.png) |
PDF
- Submitted Version
See Usage Policy. 671kB |
Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20200518-093742753
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.
| Item Type: | Report or Paper (Discussion Paper) | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Related URLs: |
| ||||||||||
| 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. | ||||||||||
| Funders: |
| ||||||||||
| DOI: | 10.48550/arXiv.1901.00020 | ||||||||||
| Record Number: | CaltechAUTHORS:20200518-093742753 | ||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20200518-093742753 | ||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||
| ID Code: | 103268 | ||||||||||
| Collection: | CaltechAUTHORS | ||||||||||
| Deposited By: | Tony Diaz | ||||||||||
| Deposited On: | 18 May 2020 16:43 | ||||||||||
| Last Modified: | 02 Jun 2023 00:44 |
Repository Staff Only: item control page
