http://www.kurims.kyoto-u.ac.jp/~motizuki/SS2018-08.pdf
August 2018 Report by the other participants in the March 2018
　discussions
Why abc is still a conjecture
PETER SCHOLZE AND JAKOB STIX
1.2. Frey curves

<Frey curves>
http://www.uvm.edu/~unqvnts/
unQVNTS (Vermont)

http://www.uvm.edu/~unqvnts/unQVNTS-Fall2018.html
unQVNTS (Vermont) 2018

Thursday, October 4, 2018, 3-4:30 p.m. Lafayette L307
Anton Hilado, Elliptic Curves and the abc Conjecture
In this talk we state the famous "abc conjecture" of Masser and Oesterle, and explain how it can be formulated as a statement involving important quantities related to elliptic curves (Szpiro's conjecture).
We give an introduction to Weierstrass equations, reduction types, and the conductor and minimal discriminant of an elliptic curve, which are all needed to state Szpiro's conjecture. We also show how the abc conjecture is related to Fermat's Last Theorem, and introduce the Frey curve, which was used to prove the latter, and relate Szpiro's conjecture to the abc conjecture.
Slides
http://www.uvm.edu/~unqvnts/Talk%201%20%28Szpiro%27s%20Conjecture%29.pdf
Elliptic Curves and the abc Conjecture
Anton Hilado
University of Vermont
October 16, 2018