Title: Where to look for tensor categories in model theory?
Abstract: I will review recent constructions of oligomorphic tensor categories generalizing Deligne’s $\operatorname{Rep}(S_t)$ from a model theoretic point of view. Then, I will explain where there are no continuous families like the original $\operatorname{Rep}(S_t)$ and where you should look for $n$-parameter families, i.e., depending on $n$ free variables. Ultimately, these questions turn out to be closely related to model-theoretic notions such as strong Euler characteristic and distality.