I would like to present the basic theory of tensor triangulated categories, and to study at least two examples in detail:
- The derive category of perfect complexes over a commutative ring.
- The bounded derived category of kG-modules, and the related stable module category.
Teilnahmevoraussetzungen, notwendige Vorkenntnisse
- basic category theory
- modules over rings
- basic homological algebra
- P. Balmer, Tensor triangular geometry, Proceedings of the ICM 2010.