Speaker: Alex Gorodnik (University of Zurich)
22 October, 2021 14:00 UTC
Abstract: We explore the behaviour of the counting function which represents the number of solutions of a multiplicative Diophantine problem. The argument is based on analysis of measures translated under a group action on homogeneous spaces. Ultimately we explain how estimates on correlations of translated measures lead to a quantitative asymptotic formula for the counting function. This is a joint work with Björklund and Fregolli.