#	Pagina
attuale pagina	/open-h2020/projects/222054/index.html

Opendata, web and dolomites

STABREP SIGNED

Geometric Models for Calabi-Yau Algebras and Homological Mirror Symmetry

Total Cost €

EC-Contrib. €

Partnership

Views

STABREP project word cloud

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

stability dual theory representation consisting bases canonical combinatorics appear sheaves famous riemann geometric conjecture co framework models complete natural x manifold model homological special theories categories introduction formulated yau ideas superstring linked cluster scattering calabi symmetry algebras phenomenon multiserial intrinsically fukaya connections geometry duality dimer encoding diagrams opening kontsevich origin first 2000s mirror generalize category coherent homology setting wild combinatorial symplectic surfaces

Project "STABREP" data sheet

The following table provides information about the project.

Coordinator	UNIVERSITY OF LEICESTER Organization address address: UNIVERSITY ROAD city: LEICESTER postcode: LE1 7RH website: www.le.ac.uk 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	212˙933 €
EC max contribution	212˙933 € (100%)
Programme	1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility)
Code Call	H2020-MSCA-IF-2018
Funding Scheme	MSCA-IF-EF-ST
Starting year	2020
Duration (year-month-day)	from 2020-09-01 to 2022-08-31

Partnership

Take a look of project's partnership.

#	participants	country	role	EC contrib. [€]
1	UNIVERSITY OF LEICESTER UNIVERSITY OF LEICESTER Organization address address: UNIVERSITY ROAD city: LEICESTER postcode: LE1 7RH website: www.le.ac.uk contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	UK (LEICESTER)	coordinator	212˙933.00

Map

Project objective

In this project, I will establish new connections between cluster algebras, mirror symmetry and representation theory through the introduction of geometric models.

Mirror symmetry is a natural phenomenon, first observed in superstring theory, consisting of two main approaches: the A-model, focused on the symplectic side of a Calabi-Yau manifold X, and the B-model, focused on the complex side of the manifold. Mirror symmetry is a duality between the two models. Based on this, Kontsevich formulated his famous homological mirror symmetry conjecture for categories. In this conjecture, the A-model is the Fukaya category of X, and the B-model is the derived category of coherent sheaves of X^. Cluster algebras were introduced in the early 2000s to provide a combinatorial framework for dual canonical bases. Many new ideas in representation theory have their origin in cluster algebras, bringing together category theory, particularly Calabi-Yau categories, combinatorics and the geometry of Riemann surfaces. In exciting recent developments cluster theory and homological mirror symmetry have been linked through scattering diagrams, opening up both theories.

In this project, I will study the connections between cluster combinatorics and scattering diagrams through Calabi-Yau algebras, which appear in a natural way in cluster theory and mirror symmetry. I will develop geometric models for the representation theory of Calabi-Yau algebras encoding, in particular, their (co)homology. This will lead to a complete understanding of these algebras and their role in the mirror symmetry program. Dimer models are intrinsically linked to both cluster algebras and mirror symmetry. As part of my project, I will generalize dimer models to the general setting of special multiserial algebras. Both Calabi-Yau algebras and special multiserial algebras are of wild representation type and my geometric models will lead the way to an understanding of stability conditions for wild algebras.

Are you the coordinator (or a participant) of this project? Plaese send me more information about the "STABREP" project.

For instance: the website url (it has not provided by EU-opendata yet), the logo, a more detailed description of the project (in plain text as a rtf file or a word file), some pictures (as picture files, not embedded into any word file), twitter account, linkedin page, etc.

Send me an email (fabio@fabiodisconzi.com) and I put them in your project's page as son as possible.

Thanks. And then put a link of this page into your project's website.

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