短期课程

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Nonabelian Hodge theory in positive characteristic

日期:2025-10-29   阅读次数:

报告人:张泽宝 副教授(重庆理工大学)

时间:2025年11月05日 14:00-

          2025年11月12日 14:00-

          2025年11月13日 14:00-

地点:数统学院LD106


摘要:This minicourse provides a brief introduction to the  Deligne-Illusie theory and some of its related developments. It contains three lectures.

      The first lecture is based on the famous paper of Deligne and Illusie, which provided mod p proofs for the E_1-degeneration of the Hodge to de Rham spectral sequence of complex smooth projective algebraic varieties, as well as the Kodaira-Akizuki-Nakano vanishing theorem.

      The second lecture will focus on the nonabelian Hodge theory in positive characteristic developed by   Ogus-Vologodsky and Schepler, and its interplay with the theory of mixed Hodge modules.

      The third lecture will focus on some recent striking progress in Deligne-Illusie theory due to Drinfeld, Bhatt-Lurie, etc.

      Key words: Deligne-Illusie theory, nonabelian Hodge theory, mixed Hodge module.


邀请人:数学研究中心


欢迎广大师生积极参与!



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