Видеотека: A. Bodzenta-Skibinska, Poset filtrations of triangulated categories in algebra and geometry

ВИДЕОТЕКА


Международная конференция «Categorical and analytic invariants in Algebraic geometry 3» 15 сентября 2016 г. 15:00, г. Москва, НИУ «Высшая школа экономики»

Poset filtrations of triangulated categories in algebra and geometry A. Bodzenta-Skibinska University of Edinburgh
Аннотация: For a finite poset $S$ and a triangulated category $\mathcal{D}$, I will define an (admissible, strict) $S$-filtration on $\mathcal{D}$. I will describe how to glue a t-structure via such a filtration. I will give examples of poset filtrations and the glued t-structures for quasi-hereditary algebras and birational morphisms of smooth surfaces. I will also introduce a generalisation of Ringel duality and describe it in the above examples. Язык доклада: английский