This volume contains the proceedings of the conference on Lie Algebras, Vertex Operator Algebras, and Related Topics, celebrating the 70th birthday of James Lepowsky and Robert Wilson, held from August 14-18, 2015, at the University of Notre Dame, Notre Dame, Indiana.
Since their seminal work in the 1970s, Lepowsky and Wilson, their collaborators, their students, and those inspired by their work, have developed an amazing body of work intertwining the fields of Lie algebras, vertex algebras, number theory, theoretical physics, quantum groups, the representation theory of finite simple groups, and more. The papers presented here include recent results and descriptions of ongoing research initiatives representing the broad influence and deep connections brought about by the work of Lepowsky and Wilson and include a contribution by Yi-Zhi Huang summarizing some major open problems in these areas, in particular as they pertain to two-dimensional conformal field theory.
D. Addabbo and M. Bergvelt, Generalizations of $Q$-systems and
orthogonal polynomials from representation theory
D. Adamovic and A. Milas, Some applications and constructions of intertwining
operators in logarithmic conformal field theory
L. Bao and L. Carbone, Kac-Moody groups and automorphic forms in low
dimensional supergravity theories
K. Bringmann, K. Mahlburg, and A. Milas, The Lusztig-Macdonald-Wall
polynomial conjectures and $q$-difference equations
L. Carbone and F. Wagner, Uniqueness of representation-theoretic hyperbolic
Kac-Moody groups over $\mathbb{Z}$
J. Fuchs and C. Schweigert, Coends in conformal field theory
H. Li, Remarks on $\phi$-coordinated modules for quantum vertex algebras
A. Henriques, The classification of chiral WZW models by
$H^4_+(BG,\mathbb{Z})$
Y.-Z. Huang, Some open problems in mathematical two-dimensional conformal
field theory
N. Jing, C. R. Mangum, and K. C. Misra, On realization of some twisted
toroidal Lie algebras
J. Lepowsky and J. Yang, Twisted generating functions incorporating singular
vectors in Verma modules and their localizations, I
Y. Arike, K. Nagatomo, and Y. Sakai, Characterization of the simple Virasoro
vertex operator algebras with 2 and 3-dimensional space of characters
D. Radnell, E. Schippers, and W. Staubach, Quasiconformal Teichmuller theory
as an analytical foundation for two-dimensional conformal field theory
A. M. Semikhatov, Centralizing the centralizers
N. R. Wallach, On Neeman's gradient flows
Katrina Barron, University of Notre Dame, IN.
Elizabeth Jurisich, College of Charleston, SC, Antun Milas, SUNY at Albany, NY.
Kailash Misra, North Carolina State University, Raleigh, NC.
Lisainfo e-raamatute kohta