LEADER 04356nam 2200625 450 001 9910786541603321 005 20220902021227.0 010 $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(RPAM)17874956 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 ;$v610$x0271-4132 300 $aDescription based upon print version of record. 311 $a0-8218-9170-7 320 $aIncludes bibliographical references. 327 $aPreface -- 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 "elliptic hypergeometric series by Michael Schlosser -- 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 -- 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 -- 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 Lie"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 -- 4. Fourth order differential equations. 410 0$aContemporary mathematics (American Mathematical Society).$v610$x0271-4132 606 $aRepresentations of algebras$vCongresses 606 $aLie algebras$vCongresses 606 $aRepresentations of groups$vCongresses 606 $aGroup theory$vCongresses 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 702 $aFrenkel$b Igor 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910786541603321 996 $aPerspectives in representation theory$9821421 997 $aUNINA