Mar. 20, 4:30pm, Wean 8220 (Note unusual time)

Daniel Kane, Stanford University

On a problem related to the ABC conjecture

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.