Abstract: It is natural to ask whether Diophantine equations are solvable in primes, and a famous example of this kind is the twin prime conjecture. In the philosophy of Bourgain-Gamburd-Sarnak, this kind of problem can be translated into the distribution of primes on orbits of group actions. In this talk I will explain this connection, as well as what are known in the quadratic case and higher degree cases.

Coffee will be served at 12:00 before the lecture
at Schreiber building 006