BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Hankyung Ko (Uppsala University) DTSTART:20210826T053000Z DTEND:20210826T070000Z DTSTAMP:20260412T203409Z UID:SAGO/9 DESCRIPTION:Title: A s ingular Coxeter presentation\nby Hankyung Ko (Uppsala University) as p art of Algebra Seminar (presented by SMRI)\n\n\nAbstract\nSMRI Algebra and Geometry Online\n’A singular Coxeter presentation’\nHankyung Ko (Upps ala University)\n\nThursday\, Aug 26\n3:30pm-5:30pm (AEST)\nRegister: \nht tps://uni-sydney.zoom.us/meeting/register/tZYqcO2uqDkpE9DpzrQ6bJCXU2M0pdUM Xo-k \n\nAbstract: A Coxeter system is a presentation of a group by genera tors and a specific \nform of relations\, namely the braid relations and t he reflection relations. The \nCoxeter presentation leads to\, among other s\, a similar presentation of the \n(Iwahori-)Hecke algebras and the Kazhd an-Lusztig theory\, which provides combinatorial \nanswers to major proble ms in Lie theoretic representation theory and geometry. \nExtending such a pplications to the `singular land’ requires the singular version of \nth e Hecke algebra. Underlying combinatorics of the singular Hecke algebra/ca tegory \ncomes from the parabolic double cosets and is the first step in u nderstanding the \nsingular Hecke category. In this talk\, I will present a Coxeter theory of the \nparabolic double cosets developed in a joint wor k with Ben Elias. In particular\, I \nwill explain a generalization of the reduced expressions and describe the braid and \nnon-braid relations.\n\n Biography: Hangyung Ko is a postdoc researcher at Matematiska institutione n\, Uppsala \nUniversity\, working on Lie theoretic representation theory. She is mainly interested \nin representation theory of algebraic groups i n positive characteristic\, category O\, \nhigher(categorical) representat ion theory\, and related topics like Coxeter groups \nand their Hecke alge bras\, Soergel bimodules\, quantum groups\, R-matrices and \nK-matrices\, polynomial functors and functor cohomology\, category theory and \nhomolog ical algebra.\n\nNote: These seminars will be recorded\, including partici pant questions (participants \nonly when asking questions)\, and uploaded to the SMRI YouTube Channel \nhttps://www.youtube.com/c/SydneyMathematical ResearchInstituteSMRI \n\nOther upcoming SMRI events can be found here: \n https://mathematical-research-institute.sydney.edu.au/news-events/\n LOCATION:https://researchseminars.org/talk/SAGO/9/ END:VEVENT END:VCALENDAR