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CONFLUENTES MATHEMATICI

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On Harder-Narasimhan filtrations and their compatibility with tensor products
Christophe Cornut1
1 CNRS, Sorbonne Université, Université Paris Diderot, Institut de Mathématiques de Jussieu-Paris Rive Gauche, IMJ-PRG, F-75005, Paris, France
Confluentes Mathematici, Volume 10 (2018) no. 2, pp. 3-49.

We attach buildings to modular lattices of finite length and show that they yield a natural framework for a metric version of the Harder-Narasimhan formalism. We establish a sufficient condition for the compatibility of Harder-Narasimhan filtrations with tensor products and verify our criterion in various cases coming from p-adic Hodge theory.

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DOI: 10.5802/cml.49
Classification: 06C05, 51E24, 53C23, 18D10, 20G15
Keywords: Harder-Narasimhan filtrations, Quasi-Tannakian categories
Christophe Cornut 1

1 CNRS, Sorbonne Université, Université Paris Diderot, Institut de Mathématiques de Jussieu-Paris Rive Gauche, IMJ-PRG, F-75005, Paris, France
License: CC-BY-NC-ND 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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Christophe Cornut. On Harder-Narasimhan filtrations and their compatibility with tensor products. Confluentes Mathematici, Volume 10 (2018) no. 2, pp. 3-49. doi : 10.5802/cml.49. https://cml.centre-mersenne.org/articles/10.5802/cml.49/

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