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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

Tags/Keywords

bilinear forms
bilinear forms over integers
SL(3-Z)
Hermite-Minkowski theorem
indefinite forms

Primary Mathematics Subject Classification

Secondary Mathematics Subject Classification No Secondary AMS MSC

Video

14248

Abstract

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).

Supplements

	Li Notes 139 KB application/pdf	Download

Video/Audio Files

14248

H.264 Video	14249.mp4 141 MB video/mp4 rtsp://videos.msri.org/data/000/023/469/original/14249.mp4	Download

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