Title: Intrinsic Diophantine approximations on the sphere with and without dynamics.
Speaker: Dubi Kelmer
Speaker Info: Boston College
Intrinsic Diophantine approximations is concerned with the question of how well can one approximate a real point on an algebraic variety by rational points lying on the same variety. In this talk I will focus on the case of the sphere and describe several problems in intrinsic Diophantine approximations and some results on these problems using methods from dynamics and number theory. I will then describe some refinements of these results, based on recent joint work with Shucheng Yu, relying on a second moment formula of light cone Siegel transform.Date: Tuesday, March 07, 2023