Duality and the p-adic Jacquet-Langlands correspondence
David Hansen (MPIM)
07-Apr-2022, 21:00-22:00 (2 years ago)
Abstract: In joint work with Lucas Mann, we establish several new properties of the p-adic Jacquet-Langlands functor defined by Scholze in terms of the cohomology of the Lubin-Tate tower. In particular, we prove a duality theorem, establish bounds on Gelfand-Kirillov dimension, prove some non-vanishing results, and show a kind of partial Künneth formula. The key new tool is the six functor formalism with solid almost $\mathcal{O}^+/p$-coefficients developed recently by Mann.
number theory
Audience: researchers in the topic
Comments: Pre-talk
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Organizers: | Kiran Kedlaya*, Alina Bucur, Aaron Pollack, Cristian Popescu, Claus Sorensen |
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