Amnon Neeman (Australian National University)
Friday 27th November, 12.05-12.55pm, Carslaw 375
Generators in triangulated categories
In classical category theory there is a well-developed, clear understanding of what it means for a set of objects to generate a category. We will review this. The definition only makes sense when the category is "concrete", in the sense of Freyd. Triangulated categories are rarely concrete, and in a very real sense we have yet to understand what is the "right" notion of generators.
I will discuss several definitions that have been made in recent years, and then some tantalizing work by Rosicky.