This volume contains original research and survey articles stemming from the Euroconference ""Algebraic and Geometric Combinatorics"". The papers discuss a wide range of problems that illustrate interactions of combinatorics with other branches of mathematics, such as commutative algebra, algebraic geometry, convex and discrete geometry, enumerative geometry, and topology of complexes and partially ordered sets. Among the topics covered are combinatorics of polytopes, lattice polytopes, triangulations and subdivisions, Cohen-Macaulay cell complexes, monomial ideals, geometry of toric surfaces, groupoids in combinatorics, Kazhdan-Lusztig combinatorics, and graph colorings. This book is aimed at researchers and graduate students interested in various aspects of modern combinatorial theories.
Lattice polytopes with a given $h*$-polynomial by V. V. Batyrev Nice initial complexes of some classical ideals by A. Conca, S. Hosten, and R. R. Thomas Ratliff-Rush monomial ideals by V. C. Quinonez Graph coloring manifolds by P. Csorba and F. H. Lutz Geometric combinatorics in the study of compact toric surfaces by D. I. Dais On the existence of Crepant resolutions of Gorenstein abelian quotient singularities in dimensions $\geq$ 4 by D. I. Dais, M. Henk, and G. M. Ziegler Kazhdan-Lusztig combinatorics via sheaves on Bruhat graphs by P. Fiebig Cohen-Macaulay cell complexes by G. Floystad Homology tests for graph colorings by D. N. Kozlov Polyhedra and polytopes: Algebra and combinatorics by P. McMullen Classification of pseudo-symmetric simplicial reflexive polytopes by B. Nill Constructions for 4-polytopes and the cone of flag vectors by A. Paffenholz and A. Werner Groupoids in combinatorics-Applications of a theory of local symmetries by R. T. Zivaljevic.