Project C10
Local cohomology and support in representation theory
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Summary:
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.
Recent Preprints:
