# Mathematical Sciences Research Institute

Home » BGMS Seminar: Polynomial Pell equations and undecidable questions in algebraic geometry

# Seminar

BGMS Seminar: Polynomial Pell equations and undecidable questions in algebraic geometry April 29, 2019 (01:30 PM PDT - 02:30 PM PDT)
Parent Program: Birational Geometry and Moduli Spaces MSRI: Simons Auditorium
Speaker(s) János Kollár (Princeton University)
Description No Description
Video
Abel initiated the  study of  the  polynomial  Pell equation $x^2-g(z)y^2=1$, where  $g(z)$ is a fixed polynomial. We are looking for solutions where $x, y, z$ are also polynomials in a variable  $t$. Then we use these results to exhibit some new  undecidable questions in complex algebraic geometry.