Yuk-Kam Lau: Prime-detecting quasi-modular forms

A Diophantine set is a collection of tuples that are positive integer solutions of a Diophantine equation. The set of primes is known to be Diophantine. A question of Schneider asks whether the set of primes is partition-theoretic, i.e., whether it consists of solutions to equations in partition functions. In this talk, we will give an exposition of the work of Craig, van Ittersum, and Ono, which answers this question affirmatively, as well as subsequent joint work with Kane, Krishnamoorthy and the speaker.