Title: Parametric geometry of numbers in function fields,
Abstract: Parametric geometry of numbers is a new theory, recently created by Schmidt
and Summerer, which unifies and simplifies many aspects of classical
Diophantine approximations, providing a handle on problems which previously
seemed out of reach. Our goal is to transpose this theory to fields of rational
functions in one variable and to analyze in that context the problem of
simultaneous approximation to exponential functions.