01571nam a2200205Ia 4500 CTU_156885 210402s9999 xx 000 0 und d 210 530.143 S955 Proceedings of the Summer School Geometric and Topological Methods for Quantum Field Theory : Villa de Leyva, Colombia, 9-27 July 2001 editors, Alexander Cardona, Sylvie Paycha, Hernan Ocampo. Singapore,River Edge, N.J. World Scientific 2003 This volume offers an introduction to recent developments in several active topics of research at the interface between geometry, topology and quantum field theory. These include Hopf algebras underlying renormalization schemes in quantum field theory, noncommutative geometry with applications to index theory on one hand and the study of aperiodic solids on the other, geometry and topology of low dimensional manifolds with applications to topological field theory, Chern–Simons supergravity and the anti de Sitter/conformal field theory correspondence. It comprises seven lectures organized around three main topics, noncommutative geometry, topological field theory, followed by supergravity and string theory, complemented by some short communications by young participants of the school. Quantum field theory,Algebraic topology,Geometry, Algebraic,Lý thuyết trường lượng tử,Tô pô đại số Năm Trung tâm Học liệu Trường Đại học Cần Thơ