ERC Advanced Grant · 2019
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 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…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.