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.