A Siegel type formula for one-parameter diagonal flows on homogeneous spaces
主 题: A Siegel type formula for one-parameter diagonal flows on homogeneous spaces
报告人: 石荣刚 (厦门大学)
时 间: 2014-12-31 14:00-15:00
地 点: 理科一号楼1560（主持人：安金鹏）
Let X be the space of unimodular lattices in R^d. Let F: X\to R be the Siegel transform of a continuous compactly supported function f: R^d\to R. Siegel's formula says that the integral of f is the same as the integral of F. In this talk we show that the asymptotic average of F on certain normalized volume measure of the trajectory of a one-parameter diagonal flow also equals the integral of f. We will also give some applications of this result.
