Abstract:
The goal of the talk is to show that certain topological invariants of knots, called cyclic branched covers, are strong invariants for prime alternating knots. I will start by describing what cyclic branched covers are before presenting some known facts concerning their properties as invariants of knots. I will then point out what features of alternating knots are key to prove the result. The actual proof will be given in the second part of the talk.