20061225Liu Jianya

Primes on Orbits

刘建亚 (山东大学) Liu Jianya (ShanDong Univ.)

Dec 25, 9:30-11:30am,中科院数学院大楼509室

Dec 26, 2:00-4:00pm, 中科院数学院大楼511室

Abstract: Firstly, I will introduce a recent conjecture of Peter Sarnak on the distribution of primes on orbits, which may be viewed as a non-abelian extension of Dirichlet's theorem, the Hardy-Littlewood prime k-tuple conjecture, Schinzel's hypothesis, etc.

After that, I will report a joint result with Sarnak concerning prime solutions to ternary quadratic equations.

Reference on Sarnak's Conjecture:

1. http://www.math.princeton.edu/sarnak/rademacher1.pdf by Sarnak, handwriting-version,53Pages,6 hours talk at Fall 2006 - Hans Rademacher Lectures in Mathematics.

And there is a typed-version SarnakConj.pdf by some student in Shandong University.

2 Sieving and expanders, Jean Bourgain, Alex Gamburd, and Peter Sarnak
The pictures have been uploaded to the Google's Picasa, (Click the following picture)