Series 
Progress in mathematics ; v. 244 

Progress in mathematics (Boston, Mass.) ;
v. 244.

Subject 
Mathematics.

Alt Name 
Gelʹfand, I. M. (Izrailʹ Moiseevich)


Etingof, P. I. (Pavel I.), 1969


Retakh, Vladimir.


Singer, I. M. (Isadore Manuel), 1924

Description 
1 online resource (xxii, 631 pages) : illustrations. 

polychrome rdacc 
Bibliography Note 
Includes bibliographical references. 
Contents 
The Interaction between Geometry and Physics  Uhlenbeck Spaces via Affine Lie Algebras  New Questions Related to the Topological Degree  Quantum Cobordisms and Formal Group Laws  On the Foundations of Noncommutative Geometry  Stable Distributions Supported on the Nilpotent Cone for the Group G 2  InfiniteDimensional Vector Bundles in Algebraic Geometry  Algebraic Lessons from the Theory of Quantum Integrable Models  Affine Structures and NonArchimedean Analytic Spaces  GelfandZeitlin Theory from the Perspective of Classical Mechanics. II  Mirror Symmetry and Localizations  Character Sheaves and Generalizations  Symplectomorphism Groups and Quantum Cohomology  Algebraic Structure of YangMills Theory  SeibergWitten Theory and Random Partitions  Quantum CalabiYau and Classical Crystals  GelfandTsetlin Algebras, Expectations, Inverse Limits, Fourier Analysis. 
Summary 
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, Ktheory, noncommutative geometry, gauge theory, representations of infinitedimensional 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; CH. 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 ST. Yau. 
Note 
Print version record. 
ISBN 
9780817644673 

0817644679 

0817640762 

9780817640767 

6610865922 

9786610865925 
ISBN/ISSN 
10.1007/0817644679 
OCLC # 
187159253 
Additional Format 
Print version: Unity of mathematics. Boston : Birkhauser, 2006 0817640762 9780817640767 (DLC) 2005935032 (OCoLC)62459856 
