Miércoles 27/11/2024, 14:30 hs. Aula 27
Titulo: On deformation theory: from algebras to tensor categories
Resumen: I will talk about deformations of structures in tensor category theory: associativity constraints, monoidal structures of tensor functors, braiding etc. As it is often in Algebra, infinitesimal deformations are controlled by Hochschild type complexes, called in this context Davydov-Yetter complex. We have recently reformulated the corresponding deformation cohomologies in terms of relative Ext groups. In this talk, I will show how to use the relative homological algebra in a rather explicit study of deformations of tensor categories and functors in Hopf algebra theory (joint work with M. Faitg and Ch. Schweigert).