03344cam a2200301 i 4500001000700000003002100007005001700028008004100045020003100086040001600117082002000133111013100153245011000284260006900394300004200463490003600505504004100541505115300582520103601735600003102771650004502802650003002847650004302877650003002920700002902950700003202979700003103011135781ISI Library, Kolkata20150525163651.0130904s2014 riua b 110 0 eng a9780821891704 (alk. paper) aISI Library00a510223bAm512c2 aConference in Honor of Igor Frenkel's 60th Birthday on Perspectives in Representation Theoryd(12-17 May 2012:cNew Haven, CT)00aPerspectives in representation theory /c[edited by] Pavel Etingof, Mikhail Khovanov and Alistair Savage. aProvidence : bAmerican Mathematical Society, cc2014. aix, 370 p. :billustrations ;c26 cm.0 aContemporary mathematics ;v610 aIncludes bibliographical references.0 aOn the work of Igor Frenkel / John Duncan, Pavel Etingof, Ivan Ip, Mikhail Khovanov, Matvei Libine, Anthony Licata, Alistair Savage, and Michael Schlosser --
Macdonald polynomials, Laumon spaces and perverse coherent sheaves / Alexander Braverman, Michael Finkelberg, and Jun'ichi Shiraishi --
An affine Gindikin-Karpelevich formula / Alexander Braverman, Howard Garland, David Kazhdan, and Manish Patnaik --
On the discrete groups of Mathieu moonshine / Miranda C.N. Cheng and John F.R. Duncan --
The classical master equation / Giovanni Felder and David Kazhdan --
Appendix / by Tomer M. Schlank --
DG indschemes / Dennis Gaitsgory and Nick Rozenblyum --
Special functions in minimal representations / Toshiyuki Kobayashi --
Asymptotic Hecke algebras and involutions / George Lusztig --
Chiral differential operators on abelian varieties / Fyodor Malikov and Vadim Schechtman --
Refined Chern-Simons theory and Hilbert schemes of points on the plane / Hiraku Nakajima --
Categorified Jones-Wenzl projectors: a comparison / Catharina Stroppel and Joshua Sussan --
Weil representations and theta functionals on surfaces / Yongchang Zhu. aThis volume contains the proceedings of the conference Perspectives in Representation Theory, held from May 12-17, 2012, at Yale University, in honour of Igor Frenkel's 60th birthday. The aim of the conference was to present current progress on the following (interrelated) topics: vertex operator algebras and chiral algebras, conformal field theory, the (geometric) Langlands programme, affine Lie algebras, Kac-Moody algebras, quantum groups, crystal bases and canonical bases, quantum cohomology and K-theory, geometric representation theory, categorification, higher-dimensional Kac-Moody theory, integrable systems, quiver varieties, representations of real and p -adic groups, quantum gauge theories. The papers in this volume present representation theory connections of numerous other subjects, as well as some of the most recent advances in representation theory, including those which occurred thanks to the application of techniques in other areas of mathematics, and of ideas of quantum field theory and string theory.10aFrenkel, IgorvCongresses. 0aRepresentations of algebrasvCongresses. 0aLie algebrasvCongresses. 0aRepresentations of groupsvCongresses. 0aGroup theoryvCongresses.1 aEtingof, Pavel,eeditor 1 aKhovanov, Mikhail,eeditor 1 aSavage, Alistair,eeditor