Discovery Projects - Grant ID: DP0450742

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP0450742

Funding Status
Closed

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Funded Activity Summary

Algebraic K-theory and groups. This project will study the K-theory of division algebras, their generalisation to Azumaya algebras and the nonstable K-theory of rings. Expected outcomes would enhance our understanding on the structure of these K groups. The goal is to settle some of the most significant conjectures in the subject: Bak's solvability of nonstable K groups over rings and the Merkurjev-Suslin conjectures on reduced K theory of division rings. The study of these problems contributes to and draws from such topics as group theory, commutative ring theory, algebraic number theory and algebraic geometry.

Funded Activity Details

Start Date: 01-01-2004

End Date: 31-12-2008

Funding Scheme: Discovery Projects

Funding Amount: $228,466.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Rings And Algebras | Number Theory And Field Theory | Pure Mathematics | Category Theory, K Theory, Homological Algebra

ANZSRC Socio-Economic Objective (SEO)

Mathematical sciences |

Other Keywords

Category Theory, K Theory, Homological Algebra | Mathematical sciences | Number Theory And Field Theory | Pure Mathematics | Rings And Algebras

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