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.