### Rank-2 Motivic Local Systems

• 演讲者：左康（美因茨大学）

• 时间：2021-01-30 19:40-20:40

• 地点：Zoom: 692 9912 0276 Password：013031

Abstract

Given a variety X, by Simpson the category of rank-2 motivic local systems over X is equivalent to the category of abelian schemes over X of GL_2-type. I shall talk on a recent progress on constructing rank-2 motivic local systems on the projective line removing four points using $p$-adic nonabelian Hodge theory, the global Langlands correspondence over function field of characteristic p by Drinfeld and Deligne's conjecture on p to \ell companions solved by Abe. This is a joint project with R. Krishnamoorthy and J.B. Yang.