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.)
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/3444
[3] http://www.mpim-bonn.mpg.de/node/11531