Brandeis-Harvard-MIT-Northeastern

JOINT MATHEMATICS COLLOQUIUM


 
Functions $\alpha_{\varepsilon,\delta} = \sum\limits^n_{i=0} \varepsilon^{i(n-i)} \alpha^\delta_i$ on the space of lattices

 

Gregory Margulis

Yale University
 
 

Brandeis University

Thursday, February 6, 2003

 

Talk at 4:30 p.m. in 317 Goldsmith Hall

Tea at 4:00 p.m. in 300 Goldsmith Hall


 

Abstract:   The purpose of this talk is to describe the class of functions $\alpha_{\varepsilon,\delta}$ mentioned in the title. These functions satisfy certain integral inequalities and play an important role in the solution of the quantitative Oppenheim conjecture (counting integer solutions of quadratic inequalities), in the study of recurrence properties of random walks on homogeneous spaces, and in an alternate approach to the proof of the theorem of Borel and Harish-Chandra on the finiteness of covolumes of arithmetic subgroups.


 
Home Web page:  Alexandru I. Suciu  Created: January 23, 2003 
Comments to:  alexsuciu@neu.edu URL: http://www.math.neu.edu/bhmn/margulis.html