Associate Professor Xu Daxin Publishes in Prestigious Journal of the American Mathematical Society

A paper titled "p-adic non-abelian Hodge theory for curves via moduli stacks," co-authored by Associate Professor Xu Daxin of the Academy of Mathematics and Systems Science (AMSS), Chinese Academy of Sciences, and Professor Ben Heuer of Leibniz University Hannover, was recently published online in the Journal of the American Mathematical Society (JAMS), one of the world's top-tier mathematics journals.

The paper focuses on the p-adic Simpson correspondence, which investigates the relationship between Higgs bundles on p-adic algebraic varieties and representations of the geometric fundamental group. Rooted in the foundational work of Faltings in p-adic Hodge theory and non-abelian Hodge theory in complex algebraic geometry, this research employs methods from geometric representation theory. Specifically, the authors successfully geometrize the p-adic Simpson correspondence, establishing a (twisted) isomorphism between the moduli stacks of Higgs bundles and v-vector bundles on p-adic curves.

Associate Professor Xu Daxin received his Ph.D. from Université Paris-Saclay in 2017 under the supervision of Professor Ahmed Abbes. Following his doctoral studies, he served as an Instructor at the California Institute of Technology (Caltech) before joining AMSS in 2020. His research centers on arithmetic algebraic geometry, with a focus on p-adic cohomology theories and p-adic Hodge theory, particularly their applications to the geometric Langlands program. In 2022, he was awarded the National Science Fund for Excellent Young Scholars.