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F-MAT-Naturvitenskap, matematikk

Homological methods in non-commutative algebra

Tildelt: kr 1,5 mill.

This is a project in abstract algebra. It deals mainly with homological methods in non-commutative algebra, in particular related to representation theory, derived categories and A-infinity algebras. Below the main topics are listed: 1. Infinite length mo dules and (co)tilting. 2. Varieties of modules. 3. Finitely generated cotilting modules. 4. Tilting and derived categories. 5. The theory of A-infinite algebras and categories. 6. Examples of A-infinite algebras. 7. Applications of A-infinite algebras.

Budsjettformål:

F-MAT-Naturvitenskap, matematikk

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