## The Bateman—Horn conjecture II: applications (Stephan Garcia, Pomona)

### December 11 @ 12:15 pm - 1:10 pm

We begin with a review of the Bateman—Horn conjecture, which sheds light on the intimate relationship between polynomials and prime numbers. In this expository talk, we survey a host of applications of the conjecture. For example, Landau’s conjecture, the twin prime conjecture, and the Green—Tao theorem are all consequences of the Bateman—Horn conjecture. Moreover, the conjecture also illuminates the mysterious patterns observed in the Ulam spiral.