LEADER 04463nam 2200661 450 001 9910480110503321 005 20180613001937.0 010 $a1-4704-1523-2 035 $a(CKB)3710000000124451 035 $a(EBL)3113340 035 $a(SSID)ssj0001135200 035 $a(PQKBManifestationID)11608260 035 $a(PQKBTitleCode)TC0001135200 035 $a(PQKBWorkID)11095169 035 $a(PQKB)10030893 035 $a(MiAaPQ)EBC3113340 035 $a(PPN)197102530 035 $a(EXLCZ)993710000000124451 100 $a20140613h20142014 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aPerspectives in representation theory $ea conference in honor of Igor Frenkel's 60th birthday : May 12-17, 2012, Yale University, New Haven, CT /$fPavel Etingof, Mikhail Khovanov, Alistair Savage, editors 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2014. 210 4$d©2014 215 $a1 online resource (384 p.) 225 1 $aContemporary Mathematics,$x1098-3627 ;$vVolume 610 300 $aDescription based upon print version of record. 311 $a0-8218-9170-7 320 $aIncludes bibliographical references. 327 $a""Preface""; ""On the work of Igor Frenkel""; ""Introduction by Pavel Etingof""; ""1. Representation theory of affine Lie algebras by Alistair Savage and Anthony Licata""; ""2. Quantum Knizhnik-Zamolodchikov equations by Pavel Etingof""; ""3. Double loop groups by Pavel Etingof""; ""4. Vertex operator algebras by John Duncan""; ""5. Three-dimensional quantum gravity by John Duncan""; ""6. Quaternionic analysis by Matvei Libine""; ""7. Emergence of a new area a???elliptic hypergeometric series by Michael Schlosser"" 327 $a""8. Representation theory of split real quantum groups and modular doubles by Ivan Ip""""9. Categorification by Mikhail Khovanov""; ""10. Geometric representation theory by Anthony Licata""; ""References""; ""Macdonald polynomials, Laumon spaces and perverse coherent sheaves""; ""1. Introduction""; ""2. Combinatorial notations""; ""3. Macdonald function""; ""4. Vanishing""; ""5. Parabolic Laumon spaces""; ""6. Euler characteristics of twisted De Rham complexes""; ""7. Difference equations""; ""8. Speculations for arbitrary simple groups""; ""Acknowledgments""; ""References"" 327 $a""An affine Gindikin-Karpelevich formula""""1. Introduction""; ""2. Affine Kac-Moody groups""; ""3. Finiteness of the Gindikin-Karpelevich Sum, Part I""; ""4. Completion of a??»""; ""5. Finiteness of the Gindikin-Karpelevich Sum, Part 2""; ""6. Proof of Theorem 1.9 and Theorem 1.13""; ""7. Appendix: Proof of 5.9""; ""Acknowledgements""; ""References""; ""On the discrete groups of Mathieu Moonshine""; ""1. Introduction""; ""2. Preliminaries""; ""3. Cusp forms""; ""4. Perspectives""; ""Appendix A. Special functions""; ""References""; ""References""; ""The classical master equation"" 327 $a""1. Introduction""""2. Graded varieties""; ""3. Solutions of the classical master equation""; ""4. Existence and uniqueness for affine varieties""; ""5. Computing the BRST cohomology""; ""6. Examples""; ""7. BRST cohomology in degree 0 and 1 and Liea???Rinehart cohomology""; ""8. The case of quasi-projective varieties""; ""Appendix A. Stable isomorphism of Tate resolutions""; ""Appendix B. Gluing sheaves of differential graded algebra""; ""Acknowledgements""; ""References""; ""DG indschemes""; ""Introduction""; ""Acknowledgments""; ""1. DG indschemes""; ""2. Sheaves on DG indschemes"" 327 $a""4. Fourth order differential equations"" 410 0$aContemporary mathematics (American Mathematical Society) ;$vVolume 610. 606 $aRepresentations of algebras$vCongresses 606 $aLie algebras$vCongresses 606 $aRepresentations of groups$vCongresses 606 $aGroup theory$vCongresses 608 $aElectronic books. 615 0$aRepresentations of algebras 615 0$aLie algebras 615 0$aRepresentations of groups 615 0$aGroup theory 676 $a512/.22 702 $aEtingof$b P. I$g(Pavel I.),$f1969- 702 $aKhovanov$b Mikhail 702 $aSavage$b Alistair 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480110503321 996 $aPerspectives in representation theory$9821421 997 $aUNINA