Extremal and probabilistic combinatorics 7.5 credits
About the course
This course introduces powerful probabilistic methods, and their applications to fundamental problems in extremal combinatorics. It includes an overview of classical probabilistic methods such as first- and second-moment methods and the Lóvasz local lemma, and of some fundamental notions and results in extremal combinatorics, such as set systems, sunflowers, antichains, graph partitions, and Turán-type problems. In addition, the course will treat a selection of related topics at the cutting-edge of research.
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