Skip to main content

On Schmidt's Subspace Theorem

Posted in
Speaker: 
Jan-Hendrik Evertse
Zugehörigkeit: 
Leiden
Datum: 
Die, 10/06/2014 - 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.

© MPI f. Mathematik, Bonn Impressum & Datenschutz
-A A +A