# Linear Equations in Primes and Nilpotent Groups

 Members Seminar Topic: Linear Equations in Primes and Nilpotent Groups Speaker: Tamar Ziegler Affiliation: Technion--Israel Institute of Technology Date: Monday, January 30 Time/Room: 2:00pm - 3:00pm/S-101

A classical theorem of Dirichlet establishes the existence of infinitely many primes in arithmetic progressions, so long as there are no local obstructions. In 2006 Green and Tao set up a program for proving a vast generalization of this theorem. They conjectured a relation between the existence of linear patterns in primes and dynamics on nilmanifolds. In recent joint work with Green and Tao we completed the final step of this program.