[LIMITS] Limits of Structures in Algebra and Combinatorics
Ente: European Commission
Scadenza: 2025-01-31
Importo max: 1.139.332,5 EUR
Paese: EU
Descrizione
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.
Settori: Borel combinatorics, graph limits, rank metric, equidecompositions, Ruziewicz problem, Halmos problem, approximations of infinite groups, group actions, meaured equivalence relations, graphings
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