AbstractIn 1994 Faltings and W\"ustholz introduced a new geometric method in the study of Diophantine approximation, called the filtration method, which involved 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...
AbstractIt is a well known fact that most of the Diophantine properties of a real number $\alpha$ are determined by its regular continued fraction expansion.In particular, from continued fraction we obtain all the best approximations to $\alpha$.In my talk, I will discuss the behaviour of best approximations in higher dimensional problems related to approximation of irrational linear subspaces ...
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