BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Mee Seong Im (United States Naval Academy) DTSTART:20200831T180000Z DTEND:20200831T190000Z DTSTAMP:20260423T021505Z UID:UMassRep/9 DESCRIPTION:Title: Nakajima quiver varieties and irreducible components of Springer fibers\nby Mee Seong Im (United States Naval Academy) as part of UMass Amherst Representation theory seminar\n\n\nAbstract\nSpringer fibers and Nakajima quiver varieties are amongst the most important objects in geometric repr esentation theory. While Springer fibers can be used to geometrically cons truct and classify irreducible representations of Weyl groups\, Nakajima q uiver varieties play a key role in the geometric representation theory of Kac--Moody Lie algebras.\nI will begin by first recalling some background on the objects of interest mentioned above. I will then connect Springer f ibers and quiver varieties by realizing the irreducible components of two- row Springer fibers inside a suitable Nakajima quiver variety and describi ng the resulting subvariety in terms of explicit quiver representations.\n \nNext\, consider certain fixed-point subvarieties of these quiver varieti es\, which were studied by Henderson--Licata and Li with the goal of devel oping the geometric representation theory for certain coideal subalgebras. By applying this machinery\, I will give an explicit algebraic descriptio n of the irreducible components of all two-row Springer fibers for classic al types\, thereby generalizing results of Fung and Stroppel--Webster in t ype A.\n\nThis is joint with C.-J. Lai and A. Wilbert.\n LOCATION:https://researchseminars.org/talk/UMassRep/9/ END:VEVENT END:VCALENDAR