# MAA

## Seminar

### Spectra of triangulated categories

Prest, M (Manchester)
Tuesday 22 March 2005, 15:30-17:00

Seminar Room 2, Newton Institute Gatehouse

#### Abstract

Model theory for finitary'' (locally finitely presented) abelian categories is well-developed. In particular to such a category one may associate its Ziegler spectrum, sheaf of locally definable scalars, et cetera. I describe how model theory and associated structures have been extended to compactly generated (finitary'') triangulated categories and how this has been used by various people.