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Universität Bielefeld > Sonderforschungsbereiche > SFB 701 Spectral Structures and Topological Methods in Mathematics >

C10: Lokale Kohomologie und Trägervarietäten i. d. Darstellungstheorie

Beschreibung :
We will study local cohomology functors and support varieties for representations of finite dimensional algebras. Working in some appropriate derived category, we aim for classifications of thick and localizing subcategories. This provides a method to classify representations of finite dimensional algebras in terms of geometric, spectral, and combinatorial invariants, using techniques from differential graded homological algebra, commutative algebra, and stable homotopy theory.
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C10: Lokale Kohomologie und Trägervarietäten i. d. Darstellungstheorie