Inhomogeneous Diophantine Approximation for function fields

In this talk, we will introduce inhomogeneous DIophantine approximation in reals and function fields. We will explain how to solve the problem using dynamics of diagonal actions on symmetric spaces using a version of Dani correspondence and present an effective upper bound for the Hausdorff dimension of the epsilon-badly approximable vectors. We will finish the talk by comparing the real case and the function field case. (This is joint work with Taehyeong Kim and Frederic Paulin.)