Objective In the last decade there has been a growing interconnection between algebraic geometry and homotopy theory. This project is part of that exciting development. The primary researcher has developed a homotopy theoretic approach to the theory of stacks. As part of this project the PI will apply this approach to the study of quasi-coherent sheaves on stacks and questions of representability by algebraic stacks. The PI plans to prove a series of structural results about the categories of quasi-coherent sheaves, including existence of pushforward and pullback functors, internal Hom, completions, and localizations, for a very general class of stacks. These results can then be applied to understand the structure of the categories of quasi-coherent sheaves and should have important applications in algebra and topology. In particular, the PI will show how these statements can be applied to the moduli stack of formal groups leading to new results in stable homotopy theory. Fields of science natural sciencesmathematicspure mathematicstopologynatural sciencesmathematicspure mathematicsgeometrynatural sciencesmathematicspure mathematicsalgebraalgebraic geometry Programme(s) FP7-PEOPLE - Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Topic(s) FP7-PEOPLE-2011-CIG - Marie-Curie Action: "Career Integration Grants" Call for proposal FP7-PEOPLE-2011-CIG See other projects for this call Funding Scheme MC-CIG - Support for training and career development of researcher (CIG) Coordinator BEN-GURION UNIVERSITY OF THE NEGEV Address . 84105 Beer sheva Israel See on map Activity type Higher or Secondary Education Establishments Administrative Contact Daphna Tripto (Ms.) Links Contact the organisation Opens in new window Website Opens in new window EU contribution No data
