Borel Local Lemma

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• Oleg Pikhurko (University of Warwick)
• Thursday 15 February 2018, 14:30-15:30
• MR12.

If you have a question about this talk, please contact Andrew Thomason.

The Lovász Local Lemma is a powerful tool for finding combinatorial objects with given local constraints. We present a Borel version of the local lemma, i.e. we show that, under suitable assumptions, if the set of variables in the local lemma has a structure of a Borel space, then there exists a satisfying assignment which is a Borel function. The main tool which we develop for the proof, which is of independent interest, is a parallel version of the Moser-Tardos algorithm which uses the same random bits to resample clauses that are far enough in the dependency graph.

This is joint work with Endre Csóka, Łukasz Grabowski, András Máthé and Konstantinos Tyros.

This talk is part of the Combinatorics Seminar series.

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