CSEDays. Theory 2013

Ural Federal University, Ekaterinburg, Russia, June 29 - July 01

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Очень понравилась фраза Ростислава Яворского в конце школы. Не помню дословно, но суть: не хочется, чтобы для вас эта школа была, как цирк, в который приехали классные люди. Хочется, чтобы вы захотели создавать что-то новое.
-- / CSEDays. Application 2011
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Lovasz Local Lemma

Author: Mario Szegedy

Lovasz in the early seventies invented his celebrated local lemma (LLL) to prove the existence of combinatorial objects that satisfy a prescribed sparse set of constraints. His beautiful proof was inherently non-constructive. Nearly two decades later J. Beck presented a constructive proof, which was however seen as technical.

In 2008 Robin A. Moser and in 2009 Moser and Gabor Tardos turned the LLL research around by giving a constructive proof with a simple resample process (algorithm) at its heart.

We describe the original proof of Lovasz and the new proof Moser and Tardos. Then we discuss a great number of consequences of the original and new results.