13.30 Greg Stevenson

Grothendieck categories: a survey

I'll give an introduction to Grothendieck categories and discuss some of their good properties. Some of these are well known, for instance the Gabriel–Popescu theorem, but others, such as the behaviour of the collection of localizations, are less well known.

14.45 Sofia Franchini

TBA

Abstract: TBA

16.00 Karin M Jacobsen

What are triangulations in the surface model?

To any gentle algebra we can associate an oriented marked surface with a dissection, giving us a geometric model of the bounded derived category, where curves taken up to homotopy correspond to indecomposable objects.

In joint work with Haugland, Schiffler and Schroll, we investigate the natural question: What do the triangulations of such a surface correspond to?

In answering the question, we arrive at a definition of maximal almost rigid subcategories in the bounded derived category. Furthermore we study interplay between algebraic and geometric mutation.

Tea, coffee and cake will be provided.