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Higher Epsilon-Factors for Higher Local Fields

Total Cost €


EC-Contrib. €






Project "HEF" data sheet

The following table provides information about the project.


Organization address
city: BERLIN
postcode: 14195

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Germany [DE]
 Project website
 Total cost 159˙460 €
 EC max contribution 159˙460 € (100%)
 Programme 1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility)
 Code Call H2020-MSCA-IF-2015
 Funding Scheme MSCA-IF-EF-ST
 Starting year 2016
 Duration (year-month-day) from 2016-10-17   to  2018-10-16


Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    FREIE UNIVERSITAET BERLIN DE (BERLIN) coordinator 159˙460.00


 Project objective

The goal of this project is to extend the work of Beilinson-Bloch-Esnault (BBE) on de Rahm epsilon-factors in dimension one to higher local fields. Together with my collaborators Oliver Braunling and Jesse Wolfson we have carefully studied one of the main tools of BBE, Tate vector bundles, in an abstract context which allows to handle higher-dimensional situations. Moreover, we have successfully constructed a special case of higher epsilon-factors, called higher-dimensional Contou-Carrère symbols, and established an array of reciprocity laws for this case. It seems very likely that similar methods, also of K-theoretic nature like in the case of symbols, can be used to shed light on higher de Rahm epsilon-factors, and reciprocity phenomena thereof. The candidate will investigate the connection between the approach via Tate objects, and extend Patel's K-theoretic framework in a compatible way. A higher analogue of Beilinson's topological epsilon-factors is also envisioned, and a comparison result between this theory and the de Rham version. This project offers a new viewpoint on the arithmetic and geometric behaviour of higher local fields.


year authors and title journal last update
List of publications.
2018 Hélène Esnault, Michael Groechenig
Cohomologically rigid local systems and integrality
published pages: , ISSN: 1022-1824, DOI: 10.1007/s00029-018-0409-z
Selecta Mathematica 2019-06-13
2018 Braunling, Oliver; Groechenig, Michael; Heleodoro, Aron; Wolfson, Jesse
On the normally ordered tensor product and duality for Tate objects
published pages: 296–349, ISSN: , DOI:
Theory and Applications of Categories Vol. 33, No. 13 2019-06-13

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