Institute of Mathematics

Objectives:

The project focuses on new trends in homological algebra, represenation theory and algebraic geometry. In particular, we aim at studying and developing a theory of the exotic versions of derived categories and equivalences of these, studying derived commutative algebra, algebraic geometry and representation theory, and studying the homological algebra of and the structure theory for contramodules over topological rings, which were discovered only a few year ago. The applicants with collaborators recently published their results in distinguished mathematical journals (J. reine angew. Math., Invent. Math., Adv. Math., Mem. Amer. Math. Soc. and others), and the proposed project naturally builds on these results.

  IM leader :

Positselski Leonid

  Main investigator:

Šťovíček  Jan

 IM team members:  

Hrbek Michal

 Participating institutions:

Faculty of Mathematics and Physics, Charles University, Coordinator

Institute of Mathematics, Czech Academy of Sciences

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