# Vojta's conjecture on Blowups and GCD Inequalities

Tuesday, February 17, 2009 -

4:30pm to 6:30pm

Vojta's conjecture is a deep conjecture in Diophantine geometry, implying for example the Bombieri-Lang conjecture and the abc conjecture. In this talk, I will show some cases of the conjecture for blowup varieties. As a consequence, we derive some interesting inequalities of greatest common divisors. An important ingredient will be Schmidt's subspace theorem, both directly and indirectly through the results of Corvaja and Zannier.

Speaker:

Yu Yasufuku

The City University of New York

Event Location:

Fine Hall 322