On a candidate for the p-adic Jacquet—Langlands correspondence

Abstract: The Jacquets—Langlands correspondence is a bijection between square-integrable complex representations of $\operatorname{GL}_n(F)$ (for $F$ a finite extension of $\mathbb{Q}_p$) and square-integrable $f$ complex representations of the unit group of the division algebra $D$ over $F$ with invariant $1/n$. Using the cohomology of the Lubin—Tate Tower, Scholze constructed a candidate for a $p$-adic Jacquets—Langlands correspondence. We will explain this construction and explore the relationship to the cohomology of Harris—Taylor Shimura varieties.

number theory

Audience: researchers in the topic

Japan Europe Number Theory Exchange Seminar

Series comments: The purpose of the Japan Europe Number Theory Exchange Seminar is to give a opportunity for researchers in Japan and Europe to exchange their research projects by giving short talks (30 min). The target audience are researchers of any level in the area of number theory.

Start for Fall 2021: 26th October