Réunion d'été SMC 2024
Saskatchewan, 2 mai - 3 juin 2024
Unveiling Infinite Symmetries
Org: Abid Ali (University of Saskatchewan), Lisa Carbone (Rutgers University) et Steven Rayan (University of Saskatchewan)
[PDF]
Org: Abid Ali (University of Saskatchewan), Lisa Carbone (Rutgers University) et Steven Rayan (University of Saskatchewan)
[PDF]
- LISA CARBONE, Rutgers University
Groups for Borcherds Algebras [PDF]
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We examine the obstacles that arise when constructing Lie group analogs for Borcherds algebras and how we may modify known techniques for Kac-Moody algebras to address these issues.
- LISA CARBONE, Rutgers, The State University of New Jersey
- LISA CARBONE, Rutgers, The State University of New Jersey
- ELIZABETH JURISICH, College of Charleston
Conformal Vertex Algebras and Borcherds algebras [PDF]
- LISA CARBONE, Rutgers, The State University of New Jersey
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Conformal vertex algebras and vertex operator algebras are algebraic structures that play a central role in various areas of mathematics and theoretical physics, including representation theory, conformal field theory, and moonshine phenomena. This talk will provide an introduction to these important concepts, presenting their precise definitions and illustrating them with key examples.
Particular emphasis will be given to the famous FLM moonshine module, which exhibits deep connections between the monster group and modular functions. The examples of lattice vertex algebras associated to even lattices will be covered. Additionally an overview of constructing Borcherds algebras from specific examples will be covered.
- MARYAM KHAQAN, University of Toronto
- SCOTT MURRAY, Rutgers, The State University of New Jersey
- SCOTT MURRAY, Rutgers, The State University of New Jersey