TY - BOOK ID - 210294 TI - The unity of mathematics : in honor of the ninetieth birthday of I.M. Gelfand AU - Gelfand, I. M. AU - Etingof, P. I. AU - Retakh, Vladimir. AU - Singer, I. M. PY - 2006 SN - 128086592X 9786610865925 0817644679 0817640762 PB - Boston : Birkhauser, DB - UniCat KW - Mathematics KW - Algebra. KW - Mathematical analysis KW - Math KW - Science KW - Geometry. KW - Mathematical physics. KW - Topological Groups. KW - Geometry, algebraic. KW - K-theory. KW - Group theory. KW - Mathematical Methods in Physics. KW - Topological Groups, Lie Groups. KW - Algebraic Geometry. KW - K-Theory. KW - Group Theory and Generalizations. KW - Groups, Theory of KW - Substitutions (Mathematics) KW - Algebra KW - Algebraic topology KW - Homology theory KW - Algebraic geometry KW - Geometry KW - Groups, Topological KW - Continuous groups KW - Physical mathematics KW - Physics KW - Euclid's Elements KW - Physics. KW - Topological groups. KW - Lie groups. KW - Algebraic geometry. KW - Groups, Lie KW - Lie algebras KW - Symmetric spaces KW - Topological groups KW - Natural philosophy KW - Philosophy, Natural KW - Physical sciences KW - Dynamics UR - https://www.unicat.be/uniCat?func=search&query=sysid:210294 AB - A tribute to the vision and legacy of Israel Moiseevich Gelfand, the invited papers in this volume reflect the unity of mathematics as a whole, with particular emphasis on the many connections among the fields of geometry, physics, and representation theory. Written by leading mathematicians, the text is broadly divided into two sections: the first is devoted to developments at the intersection of geometry and physics, and the second to representation theory and algebraic geometry. Topics include conformal field theory, K-theory, noncommutative geometry, gauge theory, representations of infinite-dimensional Lie algebras, and various aspects of the Langlands program. Graduate students and researchers will benefit from and find inspiration in this broad and unique work, which brings together fundamental results in a number of disciplines and highlights the rewards of an interdisciplinary approach to mathematics and physics. Contributors: M. Atiyah; A. Braverman; H. Brezis; T. Coates; A. Connes; S. Debacker; V. Drinfeld; L.D. Faddeev; M. Finkelberg; D. Gaitsgory; I.M. Gelfand; A. Givental; D. Kazhdan; M. Kontsevich; B. Kostant; C-H. Liu; K. Liu; G. Lusztig; D. McDuff; M. Movshev; N.A. Nekrasov; A. Okounkov; N. Reshetikhin; A. Schwarz; Y. Soibelman; C. Vafa; A.M. Vershik; N. Wallach; and S-T. Yau. ER -