June 5 – 16, 2017
Our project is in Gorenstein homological algebra. The Gorenstein homological methods have proved to be very useful; but they can only be applied when the appropriate resolutions exist. While the classical (injective, projective, flat) resolutions exist over any ring, the question « What is the most general type of ring over which all modules have a Gorenstein projective (injective, flat) resolution? » is still open. Besides considering this question, we want to develop a theory of Gorenstein homological algebra in categories of sheaves, a theory with good local-global transfer properties, characterize Gorenstein rings via unbounded complexes, and find conditions on a bicomplete abelian category with enough projectives and injectives such that the categories of Gorenstein projective and injective objects are Quillen equivalent. |
Participants
Sergio Estrada (University of Murcia) Sponsor |