Speaker: Lasse Grimmelt (Oxford Univeristy)
Title: Primes in large arithmetic progressions
Abstract: One important topic in analytic prime number theory is the study of the distribution of primes in arithmetic progressions. In the case of large arithmetic progressions, sums of Kloosterman sums and the spectral theory of automorphic forms are the main tools. In this talk I will give the background behind this connection and explain how my coauthors V. Blomer, J. Li, S. Rydin Myerson and I applied it when considering additive problems with almost prime squares. The aim will be to not dive into the technical details, but instead to get an intuitive understanding of why the seemingly unrelated area of automorphic forms is so effective in this application.
