Local-global principles for representations of quadratic forms |
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| Authors: | Jordan S Ellenberg Akshay Venkatesh |
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| Institution: | (1) Department of Mathematics, University of Wisconsin, 323 Van Vleck Hall, 480 Lincoln Drive, Madison, WI 53706, USA;(2) Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, NY 10012-1185, USA |
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| Abstract: | 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. |
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