Hopf25

About the conference

A distinguished feature of Hopf algebras is that they allow us to describe in purely algebraic terms the symmetries of geometric spaces, both in the more classical commutative setting and in the more modern noncommutative one. The relationship is so tight that, since the study of noncommutative spaces and their symmetries has been largely inspired by phenomena in quantum physics, Hopf algebras appearing in this setting are often referred to as quantum groups.
In addition, a central role in Hopf algebra theory is played by their categories of representations, which turn out to be closed and monoidal in a compatible way. In this direction, a mayor line of investigation in the modern approach to this field focuses on the fact that, under reasonably mild conditions, monoidal categories can be related to representation categories of suitably constructed Hopf algebras.
The three main topics of the conference: Hopf algebras, quantum groups and monoidal categories, represent then three aspects of the same fundamental theme. The aim of this meeting is to gather international experts, young promising researchers and PhD students together, in order to share the newest ideas, results and advances in the field.
Hopf25 is open to everyone interested in Hopf algebras and related structures, such as weak Hopf algebras, quasi Hopf algebras, (quasi)triangulated Hopf algebras, multiplier Hopf algebras, Hopfish algebras, Hopf algebroids, Hopf monads, Hopf categories, skew monoidal categories, braided monoidal categories, (modular) tensor categories, fusion categories, ribbon categories, TQFTs, Nichols algebras, (skew) braces, bracoids, trusses, Hopf-Galois theory, Tannaka duality, partial representations, 2-representations, module categories, categorification, to mention but a few.