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Geometry and Symmetry of Quantum Spaces

Objective

In precise mathematical terms, the goal of the project is to develop and apply K-theory and spectral geometry for Galois-type extensions of noncommutative algebras. We seek verifiable criteria to distinguish different isomorphism classes of principal extensions of noncommutative algebras and K-theory -classes of modules associated to them. On the geometric side, we aim to achieve a new guiding principle in gluing together smooth noncommutative geometries along boundaries.

Field of science

  • /natural sciences/mathematics/pure mathematics/algebra
  • /natural sciences/mathematics/pure mathematics/geometry

Call for proposal

FP7-PEOPLE-IRSES-2008
See other projects for this call

Funding Scheme

MC-IRSES - International research staff exchange scheme (IRSES)

Coordinator

INSTYTUT MATEMATYCZNY POLSKIEJ AKADEMII NAUK
Address
Ul. Sniadeckich 8
00 956 Warszawa
Poland
Activity type
Higher or Secondary Education Establishments
EU contribution
€ 50 400
Administrative Contact
Piotr M. Hajac (Dr.)