Obstructions to the existence of Bounded {\it t}--structures

TL;DR

This paper surveys K-theoretic obstructions to the existence of bounded t-structures, highlighting open problems and recent progress in the area.

Contribution

It provides a comprehensive overview of obstructions to bounded t-structures and discusses open problems and recent developments since 2019.

Findings

Identification of K-theoretic obstructions to bounded t-structures

Summary of progress made since the original 2019 work

Highlighting open problems in the field

Abstract

In a striking 2019 article, Antieau, Gepner and Heller found {\it K--}theoretic obstructions to bounded t-structures. We will survey their work, as well as some progress since. The focus will be on the open problems that arise from this.