HOMOQCSSTACKS

Homotopy theory of quasi-coherent sheaves on stacks

 Coordinatore 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

 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

Mappa


 Word cloud

Esplora la "nuvola delle parole (Word Cloud) per avere un'idea di massima del progetto.

homotopy    coherent    theory    categories    sheaves    stacks    algebraic    quasi    pi   

 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.'

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