YMSC seminar on complex algebraic geometry | Existence of Stable Higgs-de Rham Flow for Principal Bundles

Time：16:00-17:30, Wednesday April 10, 2024

Venue：C654 Shuangqing Complex Building

Organizer：Mao Sheng

Speaker：Hao Sun South China University of Technology

Abstract

Lan-Sheng-Zuo established the Hitchin-Simpson correspondence in characteristic p. In this correspondence, semistable graded Higgs bundles with vanishing chern classes are related to crystalline representations with the help of periodic Higgs-de Rham flow. In this talk, we will give the construction of Higgs-de Rham flows for principal bundles and discuss the existence of such flows under stable conditions.

Speaker

My primary research interest is algebraic geometry. In my Ph.D program, I focused on Hurwitz number. Now I am working on Higgs bundles, especially nonabelian Hodge correspondence and Hitchin fibrations.

DATEApril 9, 2024

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