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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 209 - Number Theory Seminar
David Hansen
Duality and the p-adic Jacquet-Langlands correspondence
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.
April 7, 2022
2:00 PM
APM 6402 and Zoom;
see https://www.math.ucsd.edu/~nts
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