## Speaker:

Daniel Kane

## Speaker Link:

## Institution:

UCSD

## Time:

Saturday, October 18, 2014 - 2:30pm to 3:30pm

## Location:

NS2 1201

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.