Jacob Lurie: A Riemann-Hilbert Correspondence in P-Adic Geometry

Explore the intricacies of p-adic geometry in this advanced mathematics lecture on the Riemann-Hilbert correspondence. Delve into topics such as computing the Riemann-Hilbert functor, perfectoid rings, perfectoidization with compact supports, and prismatic cohomology. Examine the properties and simplifications of the Riemann-Hilbert functor, analyze sheaves on special fibers, and investigate perfectoid spaces. Compare different Riemann-Hilbert functors and gain insights into characteristic p examples and the almost category. This in-depth talk provides a comprehensive exploration of cutting-edge concepts in p-adic geometry for mathematicians and researchers in related fields.