p-adic Hodge theory is foundational in modern number theory and arithmetic geometry, enabling deep connections between cohomology theories. In this talk, I will introduce some of its applications in determining the motivicity of local systems and Higgs bundles, as well as in the study of the p-adic Simpson correspondence for uniformizing Higgs bundles.

Speaker's profile: Yang Jinbang, male, Special Researcher at the University of Science and Technology of China. I obtained my doctoral degree from the University of Science and Technology of China in 2015 and later conducted postdoctoral research at Mainz University in Germany. My research focuses on algebraic geometry and arithmetic geometry, with a particular emphasis on p-adic Hodge theory and p-adic non commutative Hodge theory. The main academic contributions include: constructing Simpson type correspondences for the extraordinary case of Higgs boson Chern class, fully classifying a class of Higgs bosons from geometry on projective lines, proving the Leibniz hypercrosssection theorem and finite property theorem for crystal representation, etc. The research results have been published in top international mathematical journals such as JEMS and Compos. Math.