Singularities of quiver Grassmannians

Mardi 20 mars 2012 16:00-17:00 - Görtz Ulrich - Universität Duisburg-Essen

Résumé : Quiver Grassmannians are closed subschemes of products of Grassmannians which parameterize subrepresentations of a fixed quiver representations ; usually they are highly singular. I will explain that in certain cases their singularities can be described in a simple way by matrix equations. This relationship sometimes allows to prove properties of the quiver Grassmannian, and sometimes, conversely, of the matrix equations. Example cases are « local models » for certain unitary Shimura varieties and « linked Grassmannians » as introduced by Osserman.

Lieu : bât. 425 - 113-115

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