On the Mod p and p-adic Jacquet-Langlands Correspondence for Drinfeld Towers

Explore advanced mathematical research in this conference talk examining the applications of Mann's 6 functor formalism to the study of mod p and p-adically completed cohomology of the Drinfeld tower. Delve into sophisticated algebraic geometry and number theory concepts as the speaker presents collaborative research findings developed with Colmez and Niziol, as well as independent work with Rodriguez Camargo. Learn about the intricate connections between p-adic analysis, cohomological methods, and the Jacquet-Langlands correspondence in the context of Drinfeld's modular varieties. Gain insights into cutting-edge developments in arithmetic geometry and p-adic Hodge theory through this detailed mathematical exposition delivered by a researcher from CNRS at Université de Clermont-Auvergne.