BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Joost Vercruysse (Université Libre de Bruxelles\, Belgium) DTSTART:20261026T150000Z DTEND:20261026T160000Z DTSTAMP:20261025T112020Z UID:ENAAS/197 DESCRIPTION:Title: Partial representation theory\nby Joost Vercruysse (Université Libre de Bruxelles\, Belgium) as part of European Non-Associative Algebra Semina r\n\nInteractive livestream: https://us02web.zoom.us/j/7803181064\n\nAbstr act\nThe non-associativity in this talk concerns actions rather than algeb ras. In the case of a so-called partial representation of a group\, or mor e generally of a Hopf algebra\, the usual associativity constraint for the associated action is weakened in the sense that it is only valid in the p resence of a “witness”. This weaker version of associativity can\, how ever\, still be interpreted as associativity in the usual sense\, but the price to pay for this is that the group needs to be replaced by a groupoid (and the Hopf algebra by a Hopf algebroid). The category of partial repre sentations for a given group or Hopf algebra has many interesting properti es and provides us with more information than the usual representation cat egory\, which it contains as a full subcategory. In this talk\, I want to present an overview of this theory\, some recent developments\, and remain ing challenges.\n LOCATION:https://researchseminars.org/talk/ENAAS/197/ URL:https://us02web.zoom.us/j/7803181064 END:VEVENT END:VCALENDAR