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Limits of Structures in Algebra and Combinatorics

Objective

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.

Host institution

UNIVERSITAET LEIPZIG
Net EU contribution
€ 541 832,50
Address
Ritterstrasse 26
04109 Leipzig
Germany

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Region
Sachsen Leipzig Leipzig
Activity type
Higher or Secondary Education Establishments
Non-EU contribution
€ 0,00

Beneficiaries (2)

UNIVERSITAET LEIPZIG
Germany
Net EU contribution
€ 541 832,50
Address
Ritterstrasse 26
04109 Leipzig

See on map

Region
Sachsen Leipzig Leipzig
Activity type
Higher or Secondary Education Establishments
Non-EU contribution
€ 0,00
UNIVERSITY OF LANCASTER
United Kingdom
Net EU contribution
€ 597 500,00
Address
Bailrigg
LA1 4YW Lancaster

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Region
North West (England) Lancashire Lancaster and Wyre
Activity type
Higher or Secondary Education Establishments
Non-EU contribution
€ 0,00