Monday,
Hours 2:30 PM
- 4:30 PM,
Anche su appuntamento // Also available by appointment
Modules running in the period selected: 18.
Click on the module to see the timetable and course details.
Di seguito sono elencati gli eventi e gli insegnamenti di Terza Missione collegati al docente:
Topic | Description | Research area |
---|---|---|
Triangulated categories | 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. |
Algebra, Geometry, and Mathematical Logic
Category theory; homological algebra |
Purity in representation theory | The theory of purity incorporates the study of pure-injective modules, definable subcategories and the Ziegler spectrum. Pure-injective modules are those that have a particular "compactness" property with respect to infinite systems of linear equations. Such modules play an important role in the model theory of modules, approximation theory and generalisations of Auslander-Reiten theory. The techniques involved can be extended to triangulated categories via categories of functors. |
Algebra, Geometry, and Mathematical Logic
Associative rings and algebras |
Representation theory of algebras | Representation theory studies rings and algebras in terms of their representations, that is, by investigating the associated module categories and their derived categories. One of the main goals is to understand the complexity of these categories. Particular attention is devoted to finite dimensional algebras over a field and to the role played by infinite dimensional modules over such algebras. |
Algebra, Geometry, and Mathematical Logic
Associative rings and algebras |
Silting and tilting theory | 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. |
Algebra, Geometry, and Mathematical Logic
Category theory; homological algebra |
Office | Collegial Body |
---|---|
member | Faculty Board of Interuniversity PhD in Mathematics - Department Computer Science |
member | Computer Science Teaching Committee - Department Computer Science |
member | Collegio didattico di Matematica e Data Science - Department Computer Science |
member | Computer Science Department Council - Department Computer Science |
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