Lectures on the cohomology of reciprocity sheaves

TL;DR

This paper provides an introductory overview of recent developments in reciprocity sheaves within motivic geometry, based on three lectures given at a specialized program.

Contribution

It offers a comprehensive introduction and overview of recent advances in the theory of reciprocity sheaves, connecting them to motivic geometry.

Findings

Summarizes key concepts and recent progress in reciprocity sheaves.

Provides foundational insights for further research in motivic geometry.

Serves as an educational resource for new researchers in the field.

Abstract

These are the notes accompanying three lectures given by the second author at the Motivic Geometry program at CAS, which aim to give an introduction and an overview of some recent developments in the field of reciprocity sheaves.