This 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.
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
Pavel Etingof, Massachusetts Institute of Technology, Cambridge, MA.
Mikhail Khovanov, Columbia University, New York, NY.
Alistair Savage, University of Ottawa, ON, Canada.
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