Combinatorics

Abstract

This is the report on the Oberwolfach workshop on Combinatorics, held 6–12 January 2008. Combinatorics is a branch of mathematics studying families of mainly, but not exclusively discrete (i.e. finite or countable) structures, often with connections to probability, geometry, computer science, and other areas. Among the structures considered in the workshop were graphs, set systems, discrete geometries, and matrices. The programme consisted of 15 invited lectures, 18 contributed talks, and a problem session focusing on recent developments in graph theory, coding theory, discrete geometry, extremal combinatorics, Ramsey theory, theoretical computer science, and probabilistic combinatorics.