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On Schmidt's Subspace Theorem

Posted in
Speaker: 
Jan-Hendrik Evertse
Affiliation: 
Leiden
Date: 
Tue, 2014-06-10 11:30 - 12:30

Schmidt's Subspace Theorem is a higher dimensional generalization of Roth's Theorem on the approximation of algebraic numbers by elements from a given number field. It asserts that the set of solutions in $P^n(K)$ ($K$ number field) of a particular Diophantine inequality is contained in finitely many proper linear subspaces of $P^n(K)$. I would like to discuss quantitative versions giving an explicit upper bound for the number of subspaces, and go into ideas of Faltings that went into the proof.

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