ERC Starting Grant · 2018
Limits of Structures in Algebra and Combinatorics
The project is concerned with Borel and measurable combinatorics, sparse graph limits, approximation of algebraic structures and applications to metric geometry and measured group theory. Our research will result in major advances in these areas, and will create new research directions in combinatorics, analysis and commutative algebra. The main research objectives are as follows. 1) Study equidecompositions of sets and solve the Borel version of the Ruziewicz problem. 2) Give a new characterisation of amenable groups in terms of measurable Lovasz Local Lemma. 3) Study rank approximations of infinite groups and commutative algebras.
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.