On flat bundles in characteristic 0 and $p>0$

TL;DR

This paper explores the analogies between the fundamental groups of flat bundles in characteristic zero and positive characteristic, providing insights into their similarities and differences.

Contribution

It introduces new perspectives on the relationship between flat bundles in different characteristics, enhancing understanding of their fundamental groups.

Findings

Identifies key analogies between characteristic 0 and p>0 flat bundles.

Provides theoretical insights into fundamental group structures.

Contributes to the ECM 2012 volume on algebraic geometry.

Abstract

We discuss analogies between the fundamental groups of flat bundles in characteristic 0 and $p>0$ (contribution to the ECM 2012 volume)