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Linking singularity theory and representation theory with homological methods

Total Cost €


EC-Contrib. €






 SINGREP project word cloud

Explore the words cloud of the SINGREP project. It provides you a very rough idea of what is the project "SINGREP" about.

intersection    constructed    supervised    theoretic    differential    positive    robot    geometrically    point    arm    complete    noncommutative    characterization    singularities    indeterminacy    mckay    crepant    equations    directions    breakdown    geometric    collapse    operators    zerosets    singularity    reflection    macaulay    polynomial    rs    distant    apart    global    homological    roughly    crossing    considerations    tries    commutative    resolutions    integrate    theory    serve    correspondence    friezes    necessarily    passes    geometry    techniques    theoretical    singular    modules    analytical    speaking    normal    corresponds    understand    robert    break    cluster    group    bridge    exploited    nc    discriminants    rings    computation    phenomena    integral    ring    leader    leeds    algebra    scientific    situation    groups    cusps    points    varieties    relation    dimension    seemingly    categories    representation    university    lies    algebraic    faber    cohen    practical    maximal    quivers    construction    pseudo    eleonore    marsh   

Project "SINGREP" data sheet

The following table provides information about the project.


Organization address
city: LEEDS
postcode: LS2 9JT

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 United Kingdom [UK]
 Total cost 183˙454 €
 EC max contribution 183˙454 € (100%)
 Programme 1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility)
 Code Call H2020-MSCA-IF-2017
 Funding Scheme MSCA-IF-EF-ST
 Starting year 2018
 Duration (year-month-day) from 2018-08-01   to  2020-07-31


Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    UNIVERSITY OF LEEDS UK (LEEDS) coordinator 183˙454.00


 Project objective

In algebraic geometry one tries to understand and explain geometric phenomena of zerosets of polynomial equations (algebraic varieties) with algebraic techniques. Singularities of algebraic varieties are, roughly speaking, points of indeterminacy, where most analytical methods collapse. Geometrically, this corresponds e.g. to cusps or crossing points. In a practical example, the arm of a robot can break if it passes through a singular point, which could result in a complete breakdown of the system. Such a situation should be avoided by theoretical considerations.

This project lies at the intersection of singularity theory, (non-commutative) algebraic geometry, commutative algebra, and representation theory. The main goal is to develop homological methods to understand geometric phenomena of algebraic varieties in the presence of singularities and use them to study representation theoretic concepts such as cluster categories and friezes. The project will provide a bridge between these seemingly distant areas that can be exploited in both directions.

The specific research objectives: (1) Construction of noncommutative (crepant) resolutions of singularities (NC(C)Rs), in particular for not necessarily normal varieties/rings: computation of global dimension, application to positive characteristic (global dimension of ring of differential operators) (2) McKay correspondence for reflection groups: study of the geometry of discriminants of pseudo-reflection groups and their relation to the representation theory of the groups, characterization of McKay quivers (3) Friezes and singularities: show how (higher) integral friezes can be constructed from cluster categories and categories of maximal Cohen-Macaulay modules

The project will be carried out by Eleonore Faber, supervised by Robert Marsh at the University of Leeds. Apart from the scientific value, this project should serve to integrate Faber in the algebra research group and to establish her as a research leader.

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The information about "SINGREP" are provided by the European Opendata Portal: CORDIS opendata.

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