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Some Effective Estimates in Reduction Theory of Quadratic Forms

Advances in Homogeneous Dynamics May 11, 2015 - May 15, 2015

May 14, 2015 (02:55 PM PDT - 03:20 PM PDT)
Speaker(s): Han Li (Wesleyan University)
Location: MSRI: Simons Auditorium



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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