Combinatorial aspects of commutative algebra and algebraic geometry: the Abel Symposium 2009

The Abel Symposium 2009 'Combinatorial aspects of Commutative Algebra and Algebraic Geometry', held at Voss, Norway, featured talks by leading researchers in the field. This is the proceedings of the Symposium, presenting contributions on syzygies, tropical geometry, Boij-Söderberg theory, Schubert calculus, and quiver varieties. The volume also includes an introductory survey on binomial ideals with applications to hypergeometric series, combinatorial games and chemical reactions. The contributions pose interesting problems, and offer up-to-date research on some of the most active fields of commutative algebra and algebraic geometry with a combinatorial flavour. Contains contributions on syzygies, Boij-Söderberg theory, tropical geometry, Schubert calculus, and quiver varietiesContains an introductory survey by E.Miller on binomial ideals and their applications to hypergeometric series, combinatorial games and chemical reactionsContributions by leading researchers on topics in commutative algebra and algebraic geometry related to combinatorics INDICE: The Cone of Betti Diagrams of Bigraded Artinian Modules of Codimension Two: M.Boij, G.Fløystad. Koszul Cycles: W.Bruns, A.Conca, T.Römer. Boij-Söderberg Theory: D.Eisenbud, F.-O.Schreyer. Powers of Componentwise Linear Ideals: J.Herzog, T.Hibi, H.Ohsugi. Modules With 1-Dimensional Socle and Components of Lusztig Quiver Varieties in Type A.: J.Kamnitzer, C.Sadanand. Realization Spaces for Tropical Fans: E.Katz, S.Payne. A Relation Between Symmetric Polynomials and the Algebra of Classes, Motivated by Equivariant Schubert Calculus: D.Laksov. Theory and Applications of Lattice Point Methods for Binomial Ideals: E.Miller. Equations Defining Secant Varieties: Geometry and Computation: J.Sidman, P. Vermeire.

• ISBN: 978-3-642-19491-7
• Editorial: Springer Berlin Heidelberg
• Encuadernacion: Cartoné
• Páginas: 198
• Fecha Publicación: 31/05/2011
• Nº Volúmenes: 1
• Idioma: Inglés