数学研究所
学术报告
杰出访问研究员综合报告会
Speaker: Prof. Anna Cadoret (Sorbonne Université)
Inviter: 郑维喆 研究员
Language: English
Title: Variation of Tannaka group of perverse sheaves over abelian varieties in families
Time&Venue: 2025年4月25日（星期五） 15:00-16:00 & MCM110
Abstract: Given a relative perverse sheaf P (in the sense of Hansen-Scholze) over an abelian scheme A/S over a smooth irreducible variety S, whose restriction to the geometric generic fiber A_\eta is semisimple (in the corresponding Tannakian category), we prove that the loci of all s in S where the connected component of the derived subgroup of the Tannaka group of P restricted to A_s degenerates is not Zariski-dense. This builds on and enhances previous works by Kramer and Weissauer. Applying our result to intersection complexes, and using computations by Javanpeykar-Lehn-Kramer-Maculan, we derive geometric applications. This is a joint work with Haohao Liu.
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