04356nam 2200625 450 991078654160332120220902021227.01-4704-1523-2(CKB)3710000000124451(EBL)3113340(SSID)ssj0001135200(PQKBManifestationID)11608260(PQKBTitleCode)TC0001135200(PQKBWorkID)11095169(PQKB)10030893(MiAaPQ)EBC3113340(RPAM)17874956(PPN)197102530(EXLCZ)99371000000012445120140613h20142014 uy 0engur|n|---|||||txtccrPerspectives in representation theory a conference in honor of Igor Frenkel's 60th birthday : May 12-17, 2012, Yale University, New Haven, CT /Pavel Etingof, Mikhail Khovanov, Alistair Savage, editorsProvidence, Rhode Island :American Mathematical Society,2014.©20141 online resource (384 p.)Contemporary mathematics,1098-3627 ;6100271-4132Description based upon print version of record.0-8218-9170-7 Includes bibliographical references.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 "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 â?» -- 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.Contemporary mathematics (American Mathematical Society).6100271-4132Representations of algebrasCongressesLie algebrasCongressesRepresentations of groupsCongressesGroup theoryCongressesRepresentations of algebrasLie algebrasRepresentations of groupsGroup theory512/.22Etingof P. I(Pavel I.),1969-Khovanov MikhailSavage AlistairFrenkel IgorMiAaPQMiAaPQMiAaPQBOOK9910786541603321Perspectives in representation theory821421UNINA