Some Effective Estimates in Reduction Theory of Quadratic Forms
Advances in Homogeneous Dynamics May 11, 2015 - May 15, 2015
Location: SLMath: Eisenbud Auditorium
Tags/Keywords
bilinear forms
bilinear forms over integers
SL(3-Z)
Hermite-Minkowski theorem
indefinite forms
14248
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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