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Product Code:  CONM/610 
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Electronic ISBN:  9781470415235 
Product Code:  CONM/610.E 
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Book DetailsContemporary MathematicsVolume: 610; 2014; 370 ppMSC: Primary 17; 22;
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, KacMoody algebras, quantum groups, crystal bases and canonical bases, quantum cohomology and Ktheory, geometric representation theory, categorification, higherdimensional KacMoody theory, integrable systems, quiver varieties, representations of real and \(p\)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.ReadershipGraduate students and research mathematicians interested in representation theory.

Table of Contents

Articles

John Duncan, Pavel Etingof, Ivan Ip, Mikhail Khovanov, Matvei Libine, Anthony Licata, Alistair Savage and Michael Schlosser  On the work of Igor Frenkel

Alexander Braverman, Michael Finkelberg and Jun’ichi Shiraishi  Macdonald polynomials, Laumon spaces and perverse coherent sheaves

A. Braverman, H. Garland, D. Kazhdan and M. Patnaik  An affine GindikinKarpelevich formula

Miranda C. N. Cheng and John F. R. Duncan  On the discrete groups of Mathieu Moonshine

Giovanni Felder and David Kazhdan  The classical master equation

Dennis Gaitsgory and Nick Rozenblyum  DG indschemes

Toshiyuki Kobayashi  Special Functions in Minimal Representations

G. Lusztig  Asymptotic Hecke algebras and involutions

Fyodor Malikov and Vadim Schechtman  Chiral differential operators on abelian varieties

Hiraku Nakajima  Refined ChernSimons theory and Hilbert schemes of points on the plane

Catharina Stroppel and Joshua Sussan  Categorified JonesWenzl Projectors: a comparison

Yongchang Zhu  Weil representations and theta functionals on surfaces


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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, KacMoody algebras, quantum groups, crystal bases and canonical bases, quantum cohomology and Ktheory, geometric representation theory, categorification, higherdimensional KacMoody theory, integrable systems, quiver varieties, representations of real and \(p\)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.
Graduate students and research mathematicians interested in representation theory.

Articles

John Duncan, Pavel Etingof, Ivan Ip, Mikhail Khovanov, Matvei Libine, Anthony Licata, Alistair Savage and Michael Schlosser  On the work of Igor Frenkel

Alexander Braverman, Michael Finkelberg and Jun’ichi Shiraishi  Macdonald polynomials, Laumon spaces and perverse coherent sheaves

A. Braverman, H. Garland, D. Kazhdan and M. Patnaik  An affine GindikinKarpelevich formula

Miranda C. N. Cheng and John F. R. Duncan  On the discrete groups of Mathieu Moonshine

Giovanni Felder and David Kazhdan  The classical master equation

Dennis Gaitsgory and Nick Rozenblyum  DG indschemes

Toshiyuki Kobayashi  Special Functions in Minimal Representations

G. Lusztig  Asymptotic Hecke algebras and involutions

Fyodor Malikov and Vadim Schechtman  Chiral differential operators on abelian varieties

Hiraku Nakajima  Refined ChernSimons theory and Hilbert schemes of points on the plane

Catharina Stroppel and Joshua Sussan  Categorified JonesWenzl Projectors: a comparison

Yongchang Zhu  Weil representations and theta functionals on surfaces