Moduli Spaces in p-adic Non-abelian Hodge Theory

Explore a detailed seminar presentation where Ben Heuer delves into the geometric reorganization of p-adic non-abelian Hodge theory through moduli spaces. Learn about p-adic analytic moduli spaces of Higgs bundles and pro-étale vector bundles in the context of curves, discovering how both exhibit natural Hitchin fibrations. Understand how the moduli space of pro-étale vector bundles can be described as a twist of the moduli space of Higgs bundles, and examine the geometrization of the p-adic Simpson correspondence along with its connections to complex and mod p theory. The presentation covers collaborative research conducted with Daxin Xu, offering deep insights into advanced mathematical concepts at the intersection of geometry and number theory.