Some Effective Estimates in Reduction Theory of Quadratic Forms
Location: MSRI: Simons Auditorium
bilinear forms over integers
The aim of this talk is to present a recent joint work with Professor Gregory A. Margulis. Our main result is that any indefinite ternary integral quadratic form is integrally equivalent to many forms whose coefficients are small. This is deduced from a concentration property of the periodic SO(1, 2)-orbits in SL(3, R)/SL(3,Z).
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