Maxime Ramzi (Universität Münster): On free rigid commutative algebras

Efimov’s recent discovery of continuous K-theory has sparked some interest in the notion of dualizable categories and related objects, such as rigid commutative algebras, which appear in very varied contexts, from sheaf theory to analytic geometry. In this context, a thorough analysis of rigid commutative algebras seems to be needed.
In this talk, after giving an introduction to the context above,, I will discuss a formula for free rigid commutative algebras in the context of 2-presentably symmetric monoidal 2-categories. The formula recovers some results of Barkan and Steinebrunner, but it has some surprising features which have some consequences for the theory of rigidification of locally rigid commutative algebras, which, time permitting, I will sketch.

Zoom (635 7328 0984, Kenncode: kleinste sechsstellige Primzahl)