Author ORCID Identifier
Date Available
5-3-2024
Year of Publication
2024
Document Type
Doctoral Dissertation
Degree Name
Doctor of Philosophy (PhD)
College
Arts and Sciences
Department/School/Program
Mathematics
Faculty
Dr. Kate Ponto
Faculty
Dr. Benjamin Braun
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
