This volume contains the proceedings of the conference Perspectives in Representation Theory, held from May 12-17, 2012, at Yale University, in honor 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 program, 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 -adic groups, and quantum gauge theories. The papers in this volume present representation theory connections to 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.The functor G admits a left adjoint, denoted F, and for every 07 G A, the natural transformation in the diagram i1, 02 (31, 0. alt;i C1 Fe ... Write 9C1 E colim X173, [ 3GB where X175 G DGSChaft and iXfi : X173 E 3C1 are closed embeddings. Set Y IIanbsp;...

Title | : | Perspectives in Representation Theory |

Author | : | Pavel Etingof, Mikhail Khovanov, Alistair Savage |

Publisher | : | American Mathematical Soc. - 2014-03-11 |

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