# Moritz Kerz: Density of local systems with quasi-unipotent monodromy at infinity

Oberseminar, January 28, 2021.

**Abstract:** The famous monodromy theorem tells us that local systems on algebraic varieties which are of geometric origin have quasi-unipotent monodromy at infinity. A deep conjecture says that these local systems of geometric origin are Zariski dense in all local systems. I will explain why the density holds for local systems with quasi-unipotent monodromy at infinity. This is joint work with H. Esnault.