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Perspectives in Representation Theory
Edited by: Pavel Etingof, Massachusetts Institute of Technology, Cambridge, MA, Mikhail Khovanov, Columbia University, New York, NY, and Alistair Savage, University of Ottawa, ON, Canada
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Contemporary Mathematics
2014; 370 pp; softcover
Volume: 610
ISBN-10: 0-8218-9170-7
ISBN-13: 978-0-8218-9170-4
List Price: US$126 Member Price: US$100.80
Order Code: CONM/610

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 $$p$$-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.

• J. Duncan, P. Etingof, I. Ip, M. Khovanov, M. Libine, A. Licata, A. Savage, and M. Schlosser -- On the work of Igor Frenkel
• A. Braverman, M. Finkelberg, and J. Shiraishi -- MacDonald polynomials, Laumon spaces and perverse coherent sheaves
• A. Braverman, H. Garland, D. Kazhdan, and M. Patnaik -- An affine Gindikin-Karpelevich formula
• M. C. N. Cheng and J. F. R. Duncan -- On the discrete groups of Mathieu moonshine
• G. Felder, D. Kazhdan, and T. M. Schlank -- The classical master equation with an appendix by Tomer M. Schlank
• D. Gaitsgory and N. Rozenblyum -- DG indschemes
• T. Kobayashi -- Special functions in minimal representations
• G. Lusztig -- Asymptotic Hecke algebras and involutions
• F. Malikov and V. Schechtman -- Chiral differential operators on abelian varieties
• H. Nakajima -- Refined Chern-Simons theory and Hilbert schemes of points on the plane
• C. Stroppel and J. Sussan -- Categorified Jones-Wenzl projectors: A comparison
• Y. Zhu -- Weil representations and theta functionals on surfaces