Degeneration loci of l-adic local systems
1 : Institut de Mathématiques de Jussieu - Paris Rive Gauche
Sorbonne Université, Centre National de la Recherche Scientifique : UMR_7586, Université Paris Cité : UMR_7586
I will make a partial survey of what is expected and known about the degeneration loci of l-adic local systems over varieties over number fields. For those arising from geometry, the degeneration loci can be interpreted in terms of fibers carrying exceptional Tate cycles.