Mar. 20, 4:30pm, Wean 8220
(Note unusual time)
Daniel Kane, Stanford University
On a problem related to the ABC conjecture
Abstract:
The ABC Conjecture, roughly stated says that the equation
A+B+C=0 has no solutions for relatively prime, highly divisible
integers A, B, and C. If the divisibility criteria are relaxed, then
solutions exist and a conjecture of Mazur predicts the density of such
solutions. We discuss techniques for proving this conjecture for
certain ranges of parameters.