数学科学研究所
Insitute of Mathematical Science

Perversesheaves on semi-abelian varieties

Seminar | Institute of Mathematical Sciences

Time:10:30-11:30, Dec 27, Thursday

Location: Library 302


Speaker: Dr. Yongqiang Liu 


AbstractWe 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.


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