Taliesin Beynon
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category theory
Projects
2021
Quiver Geometry
discrete geometry via graph theory
Quiver geometry is an experiment in defining a kind of discrete geometry purely in terms of directed graphs with a particular structure of edge labels on them. I began thinking about this project in late 2020 when thinking about the abstract geometry induced by computational rewriting systems, having found nothing in the existing literature that seemed like a good “port” of the methods and theories of classical differential geometry to the setting of discrete geometry. I started to …