Towards a Global Springer Theory I: The affine Weyl group action

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dc.creatorYun, Zhiwei
dc.date2008-10-13
dc.date2009-04-22
dc.date.accessioned2026-07-07T13:06:35Z
dc.date.available2026-07-07T13:06:35Z
dc.descriptionWe propose a generalization of Springer representations to the context of groups over a global function field. The global counterpart of the Grothendieck simultaneous resolution is the parabolic Hitchin fibration. We construct an action of the affine Weyl group on the direct image complex of the parabolic Hitchin fibration. In particular, we get representations of the affine Weyl group on the cohomology of parabolic Hitchin fibers, providing the first step towards a global Springer theory.
dc.description39 page; containing an introduction for the three papers in this series; materials re-organized
dc.identifierhttps://arxiv.org/abs/0810.2146
dc.identifierhttp://arxiv.org/abs/0810.2146
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227828
dc.subjectAlgebraic Geometry
dc.subjectRepresentation Theory
dc.subject14H60; 20F55; 14F20; 20G35
dc.titleTowards a Global Springer Theory I: The affine Weyl group action
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