Singular supports for character sheaves on a group compactification. (Q2427025)

From MaRDI portal
scientific article
Language Label Description Also known as
English
Singular supports for character sheaves on a group compactification.
scientific article

    Statements

    Singular supports for character sheaves on a group compactification. (English)
    0 references
    0 references
    0 references
    14 May 2008
    0 references
    Let \(G\) be a semi-simple group of adjoint type over an algebraically closed field of characteristic zero. Let \(X\) be its De Concini-Procesi completion, also known as the wonderful compactification. Using a moment map the authors define a Lagrangian subvariety of the cotangent bundle \(T^*X\) and show that it contains the singular support of any character sheaf.
    0 references
    perverse sheaves
    0 references
    character sheaves
    0 references
    Lagrangian subvarieties
    0 references
    singular supports
    0 references
    moment maps
    0 references
    wonderful compactification
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references
    0 references
    0 references