A walk in partial representation theory

Partial representation theory is a relatively recent area of research, originating in the study of partial dynamical systems and C∗-algebras generated by partial isometries. This talk offers a brief tour of the field, highlighting some of its key ideas and recent developments: the globalisation problem and a new approach to it, the connections with inverse semigroups, the partial representation theory of finite groups and the isomorphism problem for partial group algebras, and – time permitting – some recent progress towards understanding partial (co)modules over Hopf algebras.

(Based on collaborations with E. Batista, M. D’Adderio, W. Hautekiet, J. Vercruysse)

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There will be a coffee and cake after the seminar in the common room

Zoom link: https://fc-up-pt.zoom.us/j/88475153744