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Equational theories of endomorphism monoids of categories with a topological flavor

26/03/2020 16:00- sala 6.2.33 
Mikhail Volkov (Ural Federal University, Ekaterinburg, Russia)
Faculty of Sciences, University of Lisbon

It is shown that the endomorphism monoids of the category of all 2-cobordisms do not have finitely axiomatizable equational theories. The same holds for the topological annular category and various quotients of the latter, like the affine Temperley-Lieb category. Analogous results are obtained for versions with the algebraic signature enriched by involutions. Von-Neumann-regular extensions of these categories are also considered.

This is a joint work with Karl Auinger (University of Vienna).