The ABC conjecture, Belyi's theorem and applications

Mathematical Conversations
Topic:The ABC conjecture, Belyi's theorem and applications
Speaker:Alexei Entin
Affiliation:Member, School of Mathematics
Date:Wednesday, March 25
Time/Room:6:00pm - 7:00pm/Dilworth Room

We will present the ABC conjecture, Belyi's mapping theorem and explain how they combine into a powerful tool for diophantine problems, following the ideas of Elkies, Bombieri, Granville, Langevin. Finally we will speculate a bit about the function field case.