A study of vector-valued modular forms constructed from intertwiners of the minimal models
Title: A study of vector-valued modular forms constructed from intertwiners of the minimal models
Speaker: Matt Krauel (University of Cologne)
Date: Monday, 4th April 2016
Time: 4pm
Location: Agriculture. 1.01 (Seminar Room).
Abstract:
In this talk we discuss a class of trace functions, similar to those first studied in relation to Monstrous Moonshine, along with some natural questions surrounding them. We will provide the construction of these functions, which arise from intertwining operators associated to a vertex operator algebra (VOA). We then discuss how these functions can be gathered to create vector-valued modular forms. Finally, we describe how such vector-valued functions of a desired size can be constructed in the case of the minimal model VOAs, and provide a type of classification when this size is small. The relevant information surrounding VOAs and vector-valued modular forms will be reviewed.
Series: Algebra
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