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:20261115T003403Z 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\n\nAbstract\nThe non-associativity in this talk concerns actions rathe r than algebras. In the case of a so-called partial representation of a gr oup\, or more generally of a Hopf algebra\, the usual associativity constr aint for the associated action is weakened in the sense that it is only va lid in the presence of a “witness”. This weaker version of associativi ty can\, however\, still be interpreted as associativity in the usual sens e\, but the price to pay for this is that the group needs to be replaced b y a groupoid (and the Hopf algebra by a Hopf algebroid). The category of p artial representations for a given group or Hopf algebra has many interest ing properties and provides us with more information than the usual repres entation category\, which it contains as a full subcategory. In this talk\ , I want to present an overview of this theory\, some recent developments\ , and remaining challenges.\n LOCATION:https://researchseminars.org/talk/ENAAS/197/ END:VEVENT END:VCALENDAR