Printable PDF
Department of Mathematics,
University of California San Diego

****************************

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/

****************************