Wednesday 16 May 2018, 16:00-17:00 in HG03.085
Yongqiang Liu (Leuven)
Perverse sheaves on semi-abelian varieties
We give a complete (global) characterization of complex perverse sheaves on semi-abelian varieties in terms of their cohomology jump loci. Our results generalize Schnell's work on perverse sheaves on complex abelian varieties, as well as Gabber-Loeser's results on perverse sheaves on complex affine tori. We apply our results to the study of cohomology jump loci of smooth quasi-projective varieties and to the topology of the Albanese map. This is a joint work with Laurentiu Maxim and Botong Wang.