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TeStability

Financiado

Stability and Testability Groups and Codes

"Stability in algebra in general and in group theory, in particular, is a general name for questions of the following type: Is every ""almost solution"" a small deformation of an ""exact solution""? E.g. (a) Are two unitary matric... ver más

31/07/2026

WEIZMANN

2M€

Presupuesto del proyecto: 2M€

Líder del proyecto

WEIZMANN INSTITUTE OF SCIENCE No se ha especificado una descripción o un objeto social para esta compañía.

TRL 4-5

Ver 3 Participantes

Financiación concedida El organismo H2020 notifico la concesión del proyecto el día 2020-04-03

Línea de financiación objetivo El proyecto se financió a través de la siguiente ayuda:

ERC-2019-ADG: ERC Advanced Grant

I+D

Cerrada hace 5 años

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3 Participantes

WEIZMANN

766.34K€ | Lider

RAMONDIN CAPSULAS

482.15K€ | Participante

THE HEBREW UNIVERSITY OF JER...

862.41K€ | Participante

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Últimas noticias

01-12-2024: REDES En las últimas 48 horas el Organismo REDES ha otorgado 1337 concesiones

01-12-2024: IDAE En las últimas 48 horas el Organismo IDAE ha otorgado 4 concesiones

01-12-2024: AEI En las últimas 48 horas el Organismo AEI ha otorgado 23 concesiones

Duración del proyecto: 75 meses Fecha Inicio: 2020-04-03
Fecha Fin: 2026-07-31

Líder del proyecto

WEIZMANN INSTITUTE OF SCIENCE

TRL 4-5

Presupuesto del proyecto 2M€

Descripción del proyecto "Stability in algebra in general and in group theory, in particular, is a general name for questions of the following type: Is every ""almost solution"" a small deformation of an ""exact solution""? E.g. (a) Are two unitary matrices which almost commute small deformations of matrices that do commute? or (b) Is every ""almost homomorphism"" from a group D to topological group G, a small deformation of a true homomorphism? So (a) is a special case of (b), with D = Z x Z and G = Un(C). In recent years, it has been discovered that ""Group Stability"" can be the path to the solution of some longstanding problems in group theory such as: Are all groups sofic? hyperlinear? (Two well known problems of Gromov and Connes, respectively). In computer science, property testing is an area which studies the possibility of having (random) algorithms that can check a property while reading only a small amount of the information. A major problem here is: Are there good locally testable codes? Namely, error correcting codes for which one can decide with a high degree of certainty that a vector is in the code, while reading only a small number of its bits. The current project will look at these group theoretic and codes problems from a unified point of view. Some partial works show that they are related to high dimensional expanders, Ramanujan complexes and to lattices in p-adic simple groups and their actions on the associated buildings. We plan to develop further methods to study stability and testability and eventually also to attack the holy grail problems of these areas."

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