CORDIS Project
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This project explores the relationship between non-semisimple modular categories and low-dimensional topology. It aims to develop a homotopy coherent framework to understand these categories through differential graded modular functors, enhancing techniques for computing conformal blocks and linking them to significant…
Non-semisimple differential graded modular functors:
While semisimple modular categories can be entirely understood in terms of three-dimensional topological field theory, an equally satisfactory topological understanding of non-semisimple modular categories is not available.
The proposed project will solve concrete problems related to the topological understanding of non-semisimple modular categories by unraveling within a homotopy coherent framework the relation between the homological algebra…
KOBENHAVNS UNIVERSITET
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