Singular supports for character sheaves on a group compactification

Mathematics – Representation Theory

Scientific paper

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8 pages

Scientific paper

Let $G$ be a semisimple adjoint group over $\bold C$ and $\bar{G}$ be the De
Concini-Procesi completion of $G$. In this paper, we define a Lagrangian
subvariety $\Lambda$ of the cotangent bundle of $\bar{G}$ such that the
singular support of any character sheaf on $\bar{G}$ is contained in $\Lambda$.

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