Local-global principles for representations of quadratic forms
By Jordan S. Ellenberg, Akshay Venkatesh. 2006
55 citations recorded by the source corpus.
We prove a local-global principle for the problem of representations of quadratic forms by quadratic forms over ℤ, in codimension ≥5. The proof uses the ergodic theory of p-adic groups, together with a fairly general observation on the structure of orbits of an arithmetic group acting on integral points of a variety.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/0c5303626c676a00541c6e095bb291a77604f57d
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In Geometry and Topology
- Manfred Einsiedler
- Gregory Margulis
- Akshay Venkatesh
- P. Michel
- R. Munshi
- Elon Lindenstrauss
- Nicolas Templier
- V. Blomer
In Mathematical Physics
- Manfred Einsiedler
- Akshay Venkatesh
- Gregory Margulis
- H. Oh
- Elon Lindenstrauss
- P. Michel
- Dmitry Kleinbock
- R. Munshi
Citations in the corpus
- Effective equidistribution for closed orbits of semisimple groups on homogeneous spaces (2007, methodology): “[ 20 ], based on prior discussions with M. E. and Elon Lindenstrauss.”