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Frobenius

Frobenius related invariants and singularities

Total Cost €

0

EC-Contrib. €

0

Partnership

0

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Project "Frobenius" data sheet

The following table provides information about the project.

Coordinator
UNIVERSITAT DE BARCELONA 

Organization address
address: GRAN VIA DE LES CORTS CATALANES 585
city: BARCELONA
postcode: 8007
website: http://www.ub.es

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 Spain [ES]
 Project website http://alessiocaminata87.wixsite.com/alca/frobenius
 Total cost 158˙121 €
 EC max contribution 158˙121 € (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 2017
 Duration (year-month-day) from 2017-02-15   to  2019-02-14

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    UNIVERSITAT DE BARCELONA ES (BARCELONA) coordinator 158˙121.00

Map

 Project objective

This is a project in commutative algebra of positive characteristic, which has also many connections with algebraic geometry.The main goal of this project is to study the relations between some classes of rings that arise in prime characteristic, F-singularities, and three specific notions. These are the symmetric signature, a new invariant defined by the Experienced Researcher in his Ph.D. thesis; the generalized Hilbert-Kunz function, a recent generalization of the classical Hilbert-Kunz function studied intensively in prime characteristic algebra; and the FFRT property, a positive characteristic version of the notion of finite representation type, important in representation theory. As a guideline for the future research, eight concrete problems are stated and will be investigated by the Experienced Researcher with the help of the Supervisor. The strategy to complete this task include the acquisition of new knowledge, which will be obtained, among other things, also through the organization of weekly seminars with the collaboration of the host institution. The arguments of this project, F-singularities in particular, are important topics in commutative algebra and algebraic geometry which are developing and growing fast in these years, especially in the USA and in Japan. As a further way to promote the development of these topics also in Europe, the Experienced Researcher and the Supervisor plan to organize a small workshop which will take place in the host institution at the end of the fellowship.

 Publications

year authors and title journal last update
List of publications.
2018 Alessio Caminata, Noah Giansiracusa, Han-Bom Moon, Luca Schaffler
Equations for point configurations to lie on a rational normal curve
published pages: 653-683, ISSN: 0001-8708, DOI: 10.1016/j.aim.2018.10.013
Advances in Mathematics 340 2019-04-18
2019 Alessio Caminata, Alessandro De Stefani
F-signature function of quotient singularities
published pages: 311-341, ISSN: 0021-8693, DOI: 10.1016/j.jalgebra.2018.11.040
Journal of Algebra 523 2019-03-20

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