Tuesday, July 2, 14:00, 7.527

Carlo Klapproth, On maximal n-exact structures.

Abstract:

In 2014 Gustavo Jasso introduced n-abelian and n-exact categories which generalize abelian and exact categories in the sense they are equipped with a nice collection of n-term sequences which replace short exact sequences. These categories given an abstract axiomatic framework to structures naturally found on n-cluster-tilting categories which arise in algebraic geometry. We want to give a short introduction to n-exact categories, explain that every (idempotent complete) additive category has a unique maximal n-exact structure and give new examples of n-exact categories arising in algebraic geometry. This is based on current work in progress.