Short course "Shimura varieties and interior motives". Lecture 1: Weight structures

Speaker:

Jörg Wildeshaus

Affiliation:

University Paris-Nord

Date:

Mon, 06/03/2023 - 11:30 - 13:00

Location:

MPIM Lecture Hall [2]

Parent event:

Conference on "Motives and Automorphic Forms" in Honour of Günter Harder's 85th Birthday [3]

Short course 1/3.
Keywords: weight structures, weight filtrations, orthogonality, heart, weight filtrations avoiding certain weights.

We shall give a complete review of the abstract theory of (bounded) weight structures on triangulated categories, as developed by Bondarko. Using material from Levine's series "Three Lectures on Motivic cohomology", we shall see that Voevodsky's category of motives underlies a (unique) weight structure whose heart equals the additive category of Chow motives.