جبر Lie، جبرهای عملگر راس، و موضوعات مرتبط: کنفرانسی به افتخار J. Lepowsky و R. Wilson در مورد جبرهای Lie، جبرهای عملگر راس و موضوعات مرتبط، ۱۴-۱۸ اوت ۲۰۱۵، دانشگاه نوتردام، نوتردام، ایندیانا

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. Generalizations Of Q-systems And Orthogonal Polynomials From Representation Theory / D. Addabbo And M. Bergvelt -- Some Applications And Constructions Of Intertwining Operators In Logarithmic Conformal Field Theory / D. Adamović And A. Milas -- Kac-moody Groups And Automorphic Forms In Low Dimensional Supergravity Theories / L. Bao And L. Carbone -- The Lusztig-macdonald-wall Polynomial Conjectures And Q-difference Equations / K. Bringmann, K. Mahlburg, And A. Milas -- Uniqueness Of Representation-theoretic Hyperbolic Kac-moody Groups Over Z / L. Carbone And F. Wagner -- Coends In Conformal Field Theory / J. Fuchs And C. Schweigert -- Remarks On ø-coordinated Modules For Quantum Vertex Algebras / H. Li -- The Classifcation Of Chiral Wzw Models By H4+(bg,z) / A. Henriques -- Some Open Problems In Mathematical Two-dimensional Conformal Field Theory / Y.-z. Huang -- On Realization Of Some Twisted Toroidal Lie Algebras / N. Jing, C. Mangum, And K. Misra -- Twisted Generating Functions Incorporating Singular Vectors In Verma Modules And Their Localizations, I / J. Lepowsky And J. Yang -- Characterization Of The Simple Virasoro Vertex Operator Algebras With 2 And 3-dimensional Space Of Characters / Y. Arike, K. Nagatomo, And Y. Sakai -- Quasiconformal Teichmüller Theory As An Analytical Foundation For Two-dimensional Conformal Field Theory / D. Radnell, E. Schippers, And W. Staubach -- Centralizing The Centralizers / A.m. Semikhatov -- On Neeman's Gradient Flows / N. Wallach. Katrina Barron, Elizabeth Jurisich, Antun Milas, Kailash Misra, Editors. Includes Bibliographical References.