| ABSTRACT |
The idea of using homogeneous dynamics to Diophantine approximation has grown to an active subfield of mathematics, with numerous results on Hausdorff dimension of sets of vectors with certain Diophantine properties. In this talk, we will present a series of results of the speaker with coauthors on inhomogeneous Diophantine approximation and give ideas of proofs, especially the idea related to the partial proof of Littlewood conjecture of Einsiedler-Katok-Lindenstrauss. (Part of this talk is based on joint works with U. Shapira, N. de Saxce, Y. Bugeaud, Donghan Kim, Michal Rams, Wooyeon Kim and Taehyung Kim.) |
