Distribution of periodic torus orbits on homogeneous spaces
نویسندگان
چکیده
منابع مشابه
The Distribution of Periodic Torus Orbits on Homogeneous Spaces
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 ...
متن کاملDistribution of Periodic Torus Orbits on Homogeneous Spaces
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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Let G be a semisimple algebraic Qgroup. let. F be an arithmetic subgroup of G . and let, T be an E-split torus in G . We prove that if there is a divergent Tn-orbit in r \ G R , and Q-rank G < 2, t,hen dim T < Q-rankG. This provides a partial answer to a question of G . Tomanov and B. Weiss.
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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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ژورنال
عنوان ژورنال: Duke Mathematical Journal
سال: 2009
ISSN: 0012-7094
DOI: 10.1215/00127094-2009-023