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X-FROM-URL:https://eom.sdu.dk/events/ical/31209bf6-7be9-4883-92e2-6ce5b778
 a6b6
X-WR-CALNAME:QM Research Seminar: Singular Nakajima quiver varieties assoc
 iated with extended Dynkin quivers.
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DTSTART:20261028T030000
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DESCRIPTION:[b]Speaker: Gard Olav Helle[/b] (University of Southern Denmar
 k) [nl]\n[b]Abstract:[/b][nl]\nThe McKay correspondence sets up a bijecti
 on between the finite subgroups of SU(2) and the Dynkin graphs of type AD
 E.\nIn 1987 Kronheimer exploited this to give a construction of the minim
 al resolution of the quotient singularity \C^2/G using the method of hype
 r-Kähler reduction. In fact\, he produced a family of hyper-Kähler 4-mani
 folds\, the ALE spaces\, where each member is diffeomorphic to the minima
 l resolution. This work can be rephrased in the language of Nakajima quiv
 er varieties\; the ALE spaces are the nonsingular quiver varieties associ
 ated with the extended Dynkin quivers and the corresponding minimal imagi
 nary root. \n\nIn this talk I will introduce hyper-Kähler reduction and N
 akajima quiver varieties with the aim of presenting a recent result provi
 ding a classification of the singularities in the above-described family 
 of quiver varieties. This topic is intimately linked with instanton gauge
  theory\, and I hope to elaborate on this relation along the way. \n[nl]
DTEND:20230501T140000Z
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DTSTART:20230501T130000Z
LOCATION:Syddansk Universitet\, Campusvej 55\, 5230\, Odense M
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SUMMARY:QM Research Seminar: Singular Nakajima quiver varieties associated
  with extended Dynkin quivers.
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