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Objectives:
The project is focused on the study of objects originating in algebraic geometry and representation theory and their homological and structural properties. We are concerned with properties of both classical and recently discovered non-conventional derived categories and conditions for their equivalence as well as with homological dualities in semiinfinite algebraic geometry (in the form of formal and ind-schemes), homological and geometric approach to noncommutative algebras (coming for instance from variants of Fukaya categories) and a structural theory of the corresponding representations or (co)sheaves of representations. The project also aims at enhancing the long-term and fruitful collaboration with several European algebra centers and contributing to graduate education at MFF UK in new areas of contemporary mathematics.
IM leader :
Main investigator:
Šťovíček Jan
IM team members:
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Hrbek Michal |
Participating institutions:
Faculty of Mathematics and Physics, Charles University, Prague (Coordinator)
Institute of Mathematics, Czech Academy of Sciences
