What We Are Reading Today: ‘The Arithmetic of Polynomial Dynamical Pairs’

Authors: CHARLES FAVRE AND THOMAS GAUTHIER 

In “The Arithmetic of Polynomial Dynamical Pairs,” Charles Favre and Thomas Gauthier present new mathematical research in the field of arithmetic dynamics.

Specifically, the authors study one-dimensional algebraic families of pairs given by a polynomial with a marked point. Combining tools from arithmetic geometry and holomorphic dynamics, they prove an “unlikely intersection” statement for such pairs, thereby demonstrating strong rigidity features for them.