ERC Advanced Grant · 2020
Finite and Descriptive Combinatorics
This project will explore emerging deep connections and build new bridges between some areas that study finite combinatorial structures (such as extremal and probabilistic combinatorics, distributed algorithms, etc) and those that study analytic objects (such as the limit theory of discrete structures, descriptive set theory, measured group theory, random processes on infinite graphs, statistical physics, etc), with applications going both ways. One part of this project is to apply combinatorial methods in search of constructive answers to analytic problems whose currently known solutions rely on the Axiom of Choice. One such direction is to investigate a possible transference principle…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.