Distribution of lattice orbits on homogeneous varieties
نویسندگان
چکیده
منابع مشابه
Torus Orbits on Homogeneous Varieties and Kac Polynomials of Quivers
In this paper we prove that the counting polynomials of certain torus orbits in products of partial flag varieties coincides with the Kac polynomials of supernova quivers, which arise in the study of the moduli spaces of certain irregular meromorphic connections on trivial bundles over the projective line. We also prove that these polynomials can be expressed as a specialization of Tutte polyno...
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We prove results towards the equidistribution of certain families of periodic torus orbits on homogeneous spaces, with particular focus on the case of the diagonal torus acting on quotients of PGLn(R). After attaching to each periodic orbit an integral invariant (the discriminant) our results have the following flavour: certain standard conjectures about the distribution of such orbits hold up ...
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ژورنال
عنوان ژورنال: GAFA Geometric And Functional Analysis
سال: 2006
ISSN: 1016-443X,1420-8970
DOI: 10.1007/s00039-006-0583-6