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Explore the implications of Lucas Mann's six functor formalism and Scholze's finiteness results on the mod p cohomology of Lubin-Tate and Drinfeld spaces in dimension 1. Delve into related findings for Hecke eigenspaces in mod p cohomology of quaternionic Shimura curves ramified at p in this hour-long lecture by Gabriel Dospinescu from the Hausdorff Center for Mathematics. Gain insights into ongoing joint research with Juan Esteban RodrÃguez Camargo, focusing on concrete vanishing and finiteness properties in one-dimensional mod p quaternionic representations.
