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Spectra of triangulated categories

Tuesday 22nd March 2005 - 15:30 to 17:00
INI Seminar Room 2

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.

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons