Hain intends to use the techniques of Hodge theory to study the topology of the space of compact Riemann surfaces and the topology of the space of n x m matrices over the complex numbers, all of whose minors are non-zero. Possible applications include the construction of generalizations of Euler's dilogarithm which satisfy natural generalizations of Abel's 5-term functional equation for the dilogarithm. A graduate student will employ a computer program Hain has written to aid in investigating the dilogarithm. The program decomposes representations of symmetric groups, which arise as huge tensor products. A high-powered personal computer will be devoted to this task.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Application #
8901608
Program Officer
Ralph M. Krause
Project Start
Project End
Budget Start
1989-06-15
Budget End
1992-11-30
Support Year
Fiscal Year
1989
Total Cost
$70,610
Indirect Cost
Name
University of Washington
Department
Type
DUNS #
City
Seattle
State
WA
Country
United States
Zip Code
98195