Speaker: Stephan Baier (Ramakrishna Mission Vivekananda Educational and Research Institute)

Title: The large sieve with square moduli, revisited

Abstract: We start with giving a review of the classical large sieve and its applications in analytic number theory. Then we turn our attention to variants of the large sieve, in particular, the large sieve with square moduli. We discuss results on this variant and recent conditional improvements using additive energies of modular square roots.