This is the old version of the CRM site. Please use the new site on the page crmdegiorgi.sns.it

ERC Research Period on Diophantine Geometry

The Diophantine equation f(x)=g(y) (40')

speaker: Michael Zieve (University of Michigan)

abstract: I will show that any polynomial f(x) with rational coefficients induces a function f:Q-->Q which is at most 6-to-1 outside a finite set. After relating this to the results of Mazur and Merel on rational torsion on elliptic curves, I will exhibit all polynomials f,g with algebraic coefficients for which the equation f(x)=g(y) has infinitely many solutions in some number field.

timetable:
Thu 11 Oct, 15:30 - 16:10, Sala Conferenze Centro De Giorgi
<< Go back