On arithmetic characterization of local systems of geometric origin

Abstract: I will talk about the problem of classifying local systems of geometric origin on algebraic varieties over complex numbers.

Conjecture: For a smooth algebraic variety \(S\) over a finitely generated field \(F\) , a semi-simple \(\mathbb{Q}_l\)-local system on \(S_{\bar{F}}\) is of geometric origin if and only if it extends to a local system on \(S_{F'} \) for a finite extension \(F' \supset F\) .

My main goal will be to provide motivation for this conjecture arising from the Fontaine-Mazur conjecture, and survey known results and related problems.

algebraic geometrynumber theoryrepresentation theory

Audience: researchers in the topic

Comments: Zoom number: 827 4915 3248

Zoom password: 623413

---

POINTS - Peking Online International Number Theory Seminar

Series comments: Description: Seminar on number theory and related topics

This seminar series is sponsored by the Beijing International Center of Mathematical Research (BICMR) and the School of Mathematical Sciences of Peking University.

The conference number and password are available on the external website. See also the announcements on bicmr.pku.edu.cn

---