J. E. Rodriguez Camargo: A Local Jacquet-Langlands Correspondence for Locally Analytic D-Modules

Explore an in-depth mathematical lecture on the local Jacquet-Langlands correspondence for locally analytic D-modules. Delve into an equivalence between categories of locally analytic GL₂(F)-equivariant D-modules over the Drinfeld space and locally analytic D*^-equivariant D-modules over P¹ from the Lubin-Tate side. Discover how this research, conducted in collaboration with Gabriel Dospinescu, demonstrates that the locally analytic version of Scholze's functor preserves admissible locally analytic representations. Gain insights into advanced topics in representation theory and algebraic geometry during this hour-long presentation from the Hausdorff Center for Mathematics.