| Topic | People | Description |
|---|---|---|
| Triangulated categories |
Lidia Angeleri
Anna Barbieri Alessio Cipriani Georgios Dalezios Rosanna Davison Laking Francesca Mantese |
The study of abstract concepts and methods arising from homological algebra, including the study of important reduction techniques for abelian or triangulated categories, such as torsion pairs, t-structures, localization theory. |
| Stability conditions |
Anna Barbieri
Alessio Cipriani |
Stability conditions and stability spaces of triangulated and of abelian categories, in particular from representations of algebras and dg algebras. |
| Silting and tilting theory |
Lidia Angeleri
Rosanna Davison Laking Francesca Mantese |
Tilting theory and its recent development into silting theory are universal methods for comparing and constructing equivalences between different categories. These techniques have far-reaching applications, ranging from representation theory to algebraic geometry, algebraic topology and cluster algebras. |
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