This project is concerned with research in algebraic K-theory. The principal investigator will verify the special lambda-ring identities for the general lambda operations which have recently been defined. Work will also be done on equations among modular forms of weight one and generalizations to K-theory. This project is in the general area of algebraic K-theory. K-theory concerns the evolution of ideas of vector space, basis, linear mapping and general linear group to a context where the scalars are from a commutative or noncommutative ring. In this context, K-theory can be utilized in algebraic geometry and other mathematical models involving coefficients from rings.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Application #
8806785
Program Officer
Ann K. Boyle
Project Start
Project End
Budget Start
1988-07-01
Budget End
1990-12-31
Support Year
Fiscal Year
1988
Total Cost
$37,800
Indirect Cost
Name
University of Illinois Urbana-Champaign
Department
Type
DUNS #
City
Champaign
State
IL
Country
United States
Zip Code
61820