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학술대회/행사

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제출번호(No.) 0606
분류(Section) Invited Talk
분과(Session) Topology (SS-07)
영문제목
(Title(Eng.))
Moment map flows and the Hecke correspondence for quivers
저자(Author(s))
Graeme Wilkin1
National University of Singapore1
초록본문(Abstract) Narasimhan and Ramanan's Hecke correspondence for bundles over curves relates bundles of different degree via a Hecke modification over a point on the curve. In the 1990s, Nakajima used an analogous correspondence for quiver varieties (Hecke modifications of bundles over an ALE 4-manifold) to give a geometric construction of representations of affine Kac-Moody algebras and quantum affine algebras. In this talk I will give an analytic interpretation of Nakajima's Hecke correspondence via the gradient flow of the norm-square of a moment map.
분류기호
(MSC number(s))
53C26
키워드(Keyword(s)) quiver varieties, gradient flows
강연 형태
(Language of Session (Talk))
English