UE Properties of algebraic flows

Degrees incorporating this pedagocial element :

Description

NB: the general topic of second year Master's in Fundamental Mathematics changes every year. This description concerns the course for the year 2017-2018.

Algebraic flows, and more generally flows defined on homogeneous spaces of (real) Lie groups, have been studied for more than a hundred years with many important advances over the last four decades. There are interesting applications in various areas, especially :

Diophantine approximation

counting lattice points

representations of numbers by real quadratic forms in several variables.