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Lax Algebras in Homotopy Theory

Obiettivo

The researcher Dr. Gavin J. Seal will investigate the theory of lax algebras in the context of homotopy theory. His work will be conducted at the Ecole Polytechnique Fédérale de Lausanne, in Switzerland, in collaboration with Prof. Kathryn Hess Bellwald and her research group. Based on the most recent developments in category theory, lax algebras allow a unified approach to the main fundamental structures of topology. The project will contribute to the advancement of the theory of lax algebras by exploiting its links with categorical homotopy theory: the theory of locales, higher-dimensional category theory, model theory, convergence theory, descent theory, etc. In return, the abstraction allowed by lax algebras will provide a reference point for the development of generalizations of homotopy theories, ranging from metric to uniform interpretations. The researcher's original, independent, and successful research career, as well as the high quality of his host at the host institute, all contribute to the success of the project. The researcher's international professional network, as well as his expertise, will provide the European Union with a crucial mathematical asset.

Invito a presentare proposte

FP7-PEOPLE-2007-4-3-IRG
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Coordinatore

ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE
Contributo UE
€ 100 000,00
Indirizzo
BATIMENT CE 3316 STATION 1
1015 Lausanne
Svizzera

Mostra sulla mappa

Regione
Schweiz/Suisse/Svizzera Région lémanique Vaud
Tipo di attività
Higher or Secondary Education Establishments
Contatto amministrativo
Kathryn Hess Bellwald (Prof.)
Collegamenti
Costo totale
Nessun dato