Joint Number Theory Seminars at Beijing

Tuesday, December 12, 2006

ErgodicPNT seminar: Primes on Orbits

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.

For more details, see the googlepages of our seminar

Reference on Sarnak's Conjecture:1. by Sarnak, handwriting-version,53Pages,6hours 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