05-24吴文俊数学重点实验室代数学系列报告之154【杨金榜】

发布者:系统管理员发布时间:2019-05-17浏览次数:474


Title:Periodic Line Bundles
Speaker:杨金榜  (德国美因茨大学)
Time:2019年5月24日(周五)   下午  14:30-15:30
Room:东区第五教学楼  5107室

Abstract:In 2005, Faltings associated to each Higgs bundle a generalized representation. And he also asked a question when such a generalized representation is a genuine representation. Later, Lan-Sheng-Zuo introduced the Higgs-de Rham flow and associated to each periodic Higgs bundle a genuine representation. In this talk, I will show that a periodic line bundle defined over $/mathbb Z_{p^f}$ is actually torsion. It is a p-adic analog of Grothendieck-Katz conjecture for line bundle.  This is a joint project with Kang Zuo.



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