eBook ISBN:  9781470456368 
Product Code:  CONM/753.E 
List Price:  $120.00 
MAA Member Price:  $108.00 
AMS Member Price:  $96.00 
eBook ISBN:  9781470456368 
Product Code:  CONM/753.E 
List Price:  $120.00 
MAA Member Price:  $108.00 
AMS Member Price:  $96.00 

Book DetailsContemporary MathematicsVolume: 753; 2020; 250 ppMSC: Primary 17; 11
This volume contains the proceedings of the International Conference on Vertex Operator Algebras, Number Theory, and Related Topics, held from June 11–15, 2018, at California State University, Sacramento, California.
The mathematics of vertex operator algebras, vectorvalued modular forms and finite group theory continues to provide a rich and vibrant landscape in mathematics and physics. The resurgence of moonshine related to the Mathieu group and other groups, the increasing role of algebraic geometry and the development of irrational vertex operator algebras are just a few of the exciting and active areas at present.
The proceedings center around active research on vertex operator algebras and vectorvalued modular forms and offer original contributions to the areas of vertex algebras and number theory, surveys on some of the most important topics relevant to these fields, introductions to new fields related to these and open problems from some of the leaders in these areas.
ReadershipGraduate students and research mathematicians interested in vertex algebras and representation theory of infinite dimensional Lie algebras.

Table of Contents

Articles

Peter Bantay — Orbifold deconstruction: a computational approach

Katrina Barron, Nathan Vander Werf and Jinwei Yang — The level one Zhu algebra for the Virasoro vertex operator algebra

Luca Candelori, Jack Fogliasso, Christopher Marks and Skip Moses — Period relations for Riemann surfaces with many automorphisms

Ana Ros Camacho — On the LandauGinzburg/conformal field theory correspondence

John F. R. Duncan — From the Monster to Thompson to O’Nan

Cameron Franc and Steven Rayan — Nonabelian Hodge theory and vector valued modular forms

Jr. Robert L. Griess — Research topics in finite groups and vertex algebras

Ching Hung Lam — Automorphism group of an orbifold vertex operator algebra associated with the Leech lattice

Ling Long — Some numeric hypergeometric supercongruences

Kiyokazu Nagatomo, Geoffrey Mason and Yuichi Sakai — Vertex operator algebras with central charge 8 and 16

Kiyokazu Nagatomo, Yamato Kurokawa and Yuichi Sakai — Pseudocharacters of the symplectic fermions and modular linear differential equations

Geoffrey Mason — Five notsoeasy pieces: open problems about vertex rings

Masahiko Miyamoto — Vertex operator algebras and modular invariance


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This volume contains the proceedings of the International Conference on Vertex Operator Algebras, Number Theory, and Related Topics, held from June 11–15, 2018, at California State University, Sacramento, California.
The mathematics of vertex operator algebras, vectorvalued modular forms and finite group theory continues to provide a rich and vibrant landscape in mathematics and physics. The resurgence of moonshine related to the Mathieu group and other groups, the increasing role of algebraic geometry and the development of irrational vertex operator algebras are just a few of the exciting and active areas at present.
The proceedings center around active research on vertex operator algebras and vectorvalued modular forms and offer original contributions to the areas of vertex algebras and number theory, surveys on some of the most important topics relevant to these fields, introductions to new fields related to these and open problems from some of the leaders in these areas.
Graduate students and research mathematicians interested in vertex algebras and representation theory of infinite dimensional Lie algebras.

Articles

Peter Bantay — Orbifold deconstruction: a computational approach

Katrina Barron, Nathan Vander Werf and Jinwei Yang — The level one Zhu algebra for the Virasoro vertex operator algebra

Luca Candelori, Jack Fogliasso, Christopher Marks and Skip Moses — Period relations for Riemann surfaces with many automorphisms

Ana Ros Camacho — On the LandauGinzburg/conformal field theory correspondence

John F. R. Duncan — From the Monster to Thompson to O’Nan

Cameron Franc and Steven Rayan — Nonabelian Hodge theory and vector valued modular forms

Jr. Robert L. Griess — Research topics in finite groups and vertex algebras

Ching Hung Lam — Automorphism group of an orbifold vertex operator algebra associated with the Leech lattice

Ling Long — Some numeric hypergeometric supercongruences

Kiyokazu Nagatomo, Geoffrey Mason and Yuichi Sakai — Vertex operator algebras with central charge 8 and 16

Kiyokazu Nagatomo, Yamato Kurokawa and Yuichi Sakai — Pseudocharacters of the symplectic fermions and modular linear differential equations

Geoffrey Mason — Five notsoeasy pieces: open problems about vertex rings

Masahiko Miyamoto — Vertex operator algebras and modular invariance