Title : Filtration methods in Diophatine Approximation
Abstract：Schmidt’s Subspace Theorem has been a key tool in Diophatine approximation since its appearance in the early1970s. In 1994 Faltings and W\”ustholz introduced a new geometric method of applying the Subspace Theorem, called the filtration method, which involves working with “many” sections of a line bundle and producing many linear combinations of them vanishing along appropriate divisors. This was further developed by Evertse and Ferretti. Independently, Corvaja and Zannier also worked with filtrations of the same kind, which was further refined and developed by Levin and Autissier, etc. Recently, Ru and Vojta formulated a general version of the Subspace
Theorem that unifying many known results with filtration methods. We will introduce these developments in this talk.
Time: 1:30 p.m., Feb. 25 (Fri.), 2022
Place: Room 210, Department of Mathematics, NTNU