Author ORCID Identifier
Date Available
5-3-2024
Year of Publication
2024
Degree Name
Doctor of Philosophy (PhD)
Document Type
Doctoral Dissertation
College
Arts and Sciences
Department/School/Program
Mathematics
First Advisor
Dr. Kate Ponto
Abstract
In 2007, Nora Ganter and Mikhail Kapranov defined the categorical trace, which they used to define the categorical character of a 2-representation. In 2008, Kate Ponto defined a shadow functor for bicategories. With the shadow functor, Dr. Ponto defined the bicategorical trace, which is a generalization of the symmetric monoidal trace for bicategories. How are these two notions of trace related to one another? We’ve used bicategorical traces to define a character theory for 2-representations, and the categorical character is an example.
Digital Object Identifier (DOI)
https://doi.org/10.13023/etd.2024.102
Recommended Citation
Wheeler, Travis, "Bicategorical Character Theory" (2024). Theses and Dissertations--Mathematics. 107.
https://uknowledge.uky.edu/math_etds/107
