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001 978-0-8176-4467-3
003 DE-He213
005 20180115171433.0
007 cr nn 008mamaa
008 100301s2006 xxu| s |||| 0|eng d
020 _a9780817644673
_9978-0-8176-4467-3
024 7 _a10.1007/0-8176-4467-9
_2doi
050 4 _aQA440-699
072 7 _aPBM
_2bicssc
072 7 _aMAT012000
_2bisacsh
082 0 4 _a516
_223
245 1 4 _aThe Unity of Mathematics
_h[electronic resource] :
_bIn Honor of the Ninetieth Birthday of I.M. Gelfand /
_cedited by Pavel Etingof, Vladimir Retakh, I. M. Singer.
264 1 _aBoston, MA :
_bBirkhäuser Boston,
_c2006.
300 _aXXII, 632 p. 41 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aProgress in Mathematics ;
_v244
505 0 _aThe 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 -- Infinite-Dimensional Vector Bundles in Algebraic Geometry -- Algebraic Lessons from the Theory of Quantum Integrable Models -- Affine Structures and Non-Archimedean Analytic Spaces -- Gelfand-Zeitlin Theory from the Perspective of Classical Mechanics. II -- Mirror Symmetry and Localizations -- Character Sheaves and Generalizations -- Symplectomorphism Groups and Quantum Cohomology -- Algebraic Structure of Yang-Mills Theory -- Seiberg-Witten Theory and Random Partitions -- Quantum Calabi-Yau and Classical Crystals -- Gelfand-Tsetlin Algebras, Expectations, Inverse Limits, Fourier Analysis.
520 _aA 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.
650 0 _aMathematics.
650 0 _aAlgebraic geometry.
650 0 _aGroup theory.
650 0 _aK-theory.
650 0 _aTopological groups.
650 0 _aLie groups.
650 0 _aGeometry.
650 0 _aPhysics.
650 1 4 _aMathematics.
650 2 4 _aGeometry.
650 2 4 _aMathematical Methods in Physics.
650 2 4 _aTopological Groups, Lie Groups.
650 2 4 _aAlgebraic Geometry.
650 2 4 _aK-Theory.
650 2 4 _aGroup Theory and Generalizations.
700 1 _aEtingof, Pavel.
_eeditor.
700 1 _aRetakh, Vladimir.
_eeditor.
700 1 _aSinger, I. M.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780817640767
830 0 _aProgress in Mathematics ;
_v244
856 4 0 _uhttp://dx.doi.org/10.1007/0-8176-4467-9
912 _aZDB-2-SMA
999 _c369887
_d369887