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University of Massachusetts Amherst
Department of Mathematics and Statistics
 
Five College Number Theory Seminar


Vojta's conjecture on some rational varieties


Abstract: Vojta's conjecture is a deep conjecture in Diophantine geometry, implying for example the Mordell conjecture (Faltings' theorem) and the Bombieri-Lang conjecture. In this talk, I will show some cases of the conjecture and discuss their arithmetic consequences (such as to properties of GCD's). Moreover, I will talk about some connections with the abc conjecture and arithmetic dynamics.


Yu Yasufuku
CUNY

Tuesday, November 17, 2009

4:00pm-5:00pm

Refreshments at 3:30pm in Seeley-Mudd 208

Seeley-Mudd 207, Amherst College