|Topic:||Linear Equations in Primes and Nilpotent Groups|
|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.