Emma Previato will continue her research into integrable systems of differential equations and moduli problems in algebraic geometry. She will be studying some of the soliton equations which arise naturally in physics. In particular she will work with the Kadomtsev-Petviashvili equations. These model various standing wave configurations and demonstrate many symmetries. Previato will be investigating the geometrical aspects of this theory. Since the special qualities possessed by these integrable systems are algebraic in nature, her work will have impact in both differential and algebraic geometry. The major objective of the research is to embed integrable systems in moduli spaces in order to gain information on the latter's function theory and properties as projective varieties. This offers potential applications to the study of moduli spaces for vector bundles on curves as well as the possible discovery of some new and interesting finite dimensional integrable systems.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Type
Standard Grant (Standard)
Application #
8802712
Program Officer
James Glazebrook
Project Start
Project End
Budget Start
1988-07-01
Budget End
1990-12-31
Support Year
Fiscal Year
1988
Total Cost
$31,150
Indirect Cost
Name
Boston University
Department
Type
DUNS #
City
Boston
State
MA
Country
United States
Zip Code
02215