Title: Fusion Categories over Non–Algebraically Closed Fields
Speaker: Sean Sanford (Indiana University)
Abstract: Much of the early work on Fusion Categories was inspired by physicists desire for rigorous foundations of topological quantum field theory. One effect of this was that base fields other than the complex numbers were rarely considered, if at all. The relevant features of $\mathbb C$ that make the theory work are the fact that it is characteristic zero, and algebraically closed.
This talk will focus on the interesting things that can be found when the algebraically closed requirement is removed. The content will start with lots of examples, and slowly accelerate into higher categorical implications.
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