Speaker: Dr. Yongqiang Liu
Abstract: We give a complete (global) characterization of complex perversesheaves on semi-abelian varieties in terms of their cohomology jump loci. Our results generalize Schnell's work on perversesheaves on complex abelian varieties, as well as Gabber-Loeser's results on perversesheaves 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.