9504884 Silvotti The proposed research lies in the interface of algebraic geometry and quantum field theory. The investigator proposes to give a complete and direct topological description of the models of conformal field theory corresponding to generalized theta functions in terms of cohomology spaces. The cohomology to be used is the cohomology of multivalued holomorphic differential forms on the affine complement of hypersurfaces in complex algebraic varieties. The proposed research brings together very classical problems in function theory with the latest development in mathematical physics (quantum field theory). The underlying physical theory was originally introduced to describe the critical behavior of a class of statistical systems on planar lattices.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Type
Standard Grant (Standard)
Application #
9504884
Program Officer
Kichoon Yang
Project Start
Project End
Budget Start
1995-07-01
Budget End
1998-06-30
Support Year
Fiscal Year
1995
Total Cost
$51,000
Indirect Cost
Name
Columbia University
Department
Type
DUNS #
City
New York
State
NY
Country
United States
Zip Code
10027