BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Eric Marberg (The Hong Kong University of Science and Technology ( HKUST)) DTSTART:20231205T073000Z DTEND:20231205T083000Z DTSTAMP:20260423T021232Z UID:OISTRTS/54 DESCRIPTION:Title: From Klyachko models to perfect models\nby Eric Marberg (The Hong Kon g University of Science and Technology (HKUST)) as part of OIST representa tion theory seminar\n\n\nAbstract\nIn this talk a "model" of a finite grou p or semisimple algebra means a representation containing a unique irreduc ible subrepresentation from each isomorphism class. In the 1980s Klyachko identified an elegant model for the general linear group over a finite fie ld with $q$ elements. There is an informal sense in which taking the $q \\ to 1$ limit of Klyachko's construction gives a model for the symmetric gro up\, which can be extended to its Iwahori-Hecke algebra. The resulting Hec ke algebra representation is a special case of a "perfect model"\, which i s a more flexible construction that can be considered for any finite Coxet er group. In this talk\, I will classify exactly which Coxeter groups have perfect models\, and discuss some notable features of this classification . For example\, each perfect model gives rise to a pair of related W-graph s\, which are dual in types B and D but not in type A. Various interesting questions about these W-graphs remain open. This is joint work with Yifen g Zhang.\n LOCATION:https://researchseminars.org/talk/OISTRTS/54/ END:VEVENT END:VCALENDAR