Department of Mathematics Colloquium

University of Idaho

Fall 2013

Thursday,  October 26, 3:30-4:20 pm, room TLC 145

Refreshments in Brink 305 at 3:00 pm

The distribution of integral points on homogeneous varieties


Sheng-Chi Liu

Department of Mathematics

Washington State University


In this talk we will give a broad overview of the Linnik problems concerning the equidistribution of integral points on homogeneous varieties. One particular example concerns the Heegner points, which are roots in the complex upper-half plane of certain quadratic forms. We will discuss certain ``sparse" equidistribution problems concerning these points and give an application of an analog of Linnik's famous theorem on the first prime in an arithmetic progression.