Mathematisches Forschungsinstitut Oberwolfach Enumerative
Mathematisches Forschungsinstitut Oberwolfach Report No. 12/2014 DOI: 10.4171/OWR/2014/12 Enumerative Combinatorics Organised by Mireille Bousquet-M´elou, Bordeaux Michael Drmota, Wien Christian Krattenthaler, Wien Marc Noy, Barcelona 2 March – 8 March 2014 Abstract. Enumerative Combinatorics focusses on the exact and asymp- totic counting of combinatorial objects. It is strongly connected to the proba- bilistic analysis of large combinatorial structures and has fruitful connections to several disciplines, including statistical physics, algebraic combinatorics, graph theory and computer science. This workshop brought together experts from all these various fields, including also computer algebra, with the goal of promoting cooperation and interaction among researchers with largely vary- ing backgrounds. Mathematics Subject Classification (2010): Primary: 05A; Secondary: 05E, 05C80, 05E, 60C05, 60J, 68R, 82B. Introduction by the Organisers The workshop Enumerative Combinatorics organized by Mireille Bousquet-M´elou (Bordeaux), Michael Drmota (Vienna), Christian Krattenthaler (Vienna), and Marc Noy (Barcelona) took place on March 2-8, 2014. There were over 50 par- ticipants from the US, Canada, Australia, Japan, Korea, and various European countries. The program consisted of 13 one hour lectures, accompanied by 17 shorter contributions and the special session of 5 presentations by Oberwolfach Leibniz graduate students. There was also a lively problem session led by Svante Linusson. The lectures were intended to provide overviews of the state of the art in various areas and to present relevant new results. The lectures and short talks ranged over a wide variety of topics including classical enumerative prob- lems, algebraic combinatorics, asymptotic and probabilistic methods, statistical 636 Oberwolfach Report 12/2014 physics, methods from computer algebra, among others.
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