Event № 668
A K\"ahler group is a group that can be realized as fundamental group of a compact K\"ahler manifold. I shall start by explaining why the question which groups are K\"ahler groups is non-trivial. Then we will address the question which functions can be realized as Dehn functions of K\"ahler groups. After explaining why K\"ahler groups can have linear, quadratic and exponential Dehn function, we show that there is a K\"ahler group with Dehn function bounded below by $n^3$ and bounded above by $n^6$. This is joint work with Romain Tessera.