Rice University Department of Mathematics Colloquium

The abc Conjecture and the d(abc) Theorem

4:00 pm Thursday, August 24, 2017
Hector Pasten (Harvard)

Abstract: The abc Conjecture is a central problem in number theory, relating the additive and multiplicative structure of the integers. In this talk I will recall this problem and some selected applications to give an idea of why it is relevant. Then I will explain the available unconditional results towards the abc Conjecture. Finally, I will discuss a recent result in this context, the d(abc) Theorem, and I will present some of the ideas used to prove it.

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