Moritz Kerz (U Regensburg): Cohomology of local systems
We study local systems on algebraic varieties. The cohomology with coefficients in these
local systems reflects important properties of the topology of complex algebraic
varieties, for example we know the Hard Lefschetz theorem and interesting properties about
jumping loci. In the talk I will give an overview about the classical case of varieties
over the field of complex numbers and I will explain what we know about positive
characteristic.