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Abstract for the seminar talk on 30.11.2007
Prof. Pietro Corvaja (Univ. Udine)
Integral points on rational surfaces and applications
Time: 14.15 / Place: HWZ (HG G43)
In recent works with Umberto Zannier, we developed a new method to study integral points on quasi projective varieties, proving in particular the degeneracy of integral points on affine surfaces whose divisor at infinity is sufficiently reducible. In this talk, I shall present these new results, which constitute particular cases of Vojta's conjecture for open varieties; I shall also show some concrete applications to explicit diophantine equations and to problems of divisibility between values of polynomials at integral points.
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