HOMOQCSSTACKS

Homotopy theory of quasi-coherent sheaves on stacks

Coordinatore	BEN-GURION UNIVERSITY OF THE NEGEV    more  Organization address address: Office of the President - Main Campus city: BEER SHEVA postcode: 84105 contact info Titolo: Ms. Nome: Daphna Cognome: Tripto Email: send email Telefono: +972 8 6472443 Fax: +972 8 6472930
Nazionalità Coordinatore	Israel [IL]
Totale costo	100˙000 €
EC contributo	100˙000 €
Programma	FP7-PEOPLE Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
Code Call	FP7-PEOPLE-2011-CIG
Funding Scheme	MC-CIG
Anno di inizio	2012
Periodo (anno-mese-giorno)	2012-01-15   -   2017-06-05

 Partecipanti

#	participant	country	role	EC contrib. [€]
1	BEN-GURION UNIVERSITY OF THE NEGEV  Organization address address: Office of the President - Main Campus city: BEER SHEVA postcode: 84105 contact info Titolo: Ms. Nome: Daphna Cognome: Tripto Email: send email Telefono: +972 8 6472443 Fax: +972 8 6472930	IL (BEER SHEVA)	coordinator	100˙000.00

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 Obiettivo del progetto (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.'