Quantized Geometry comprises three closely interconnected areas: (1) The Zeta functions of elliptic operators, which in topology and geometry are used to describe non-local numerical invariants like torsion, and in physics are related to functional integrals. (2) The geometry of certain infinite dimensional spaces and groups, which have appeared in algebraic topology in connection with the algebraic K-theory of topological spaces, in geometric topology in connection with the groups of automorphisms of manifolds, and in physics as mathematical models capable of incorporating new types of symmetry, like supersymmetry. (3) Operator algebraic methods which, with the advent of K- theory, became relevant to differential and topological geometry. This grant will enable a number of junior mathematicians to participate in a conference devoted to Quantized Geometry at the Ohio State University in May, 1991.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Type
Standard Grant (Standard)
Application #
9015638
Program Officer
Deborah Lockhart
Project Start
Project End
Budget Start
1991-02-01
Budget End
1993-01-31
Support Year
Fiscal Year
1990
Total Cost
$6,000
Indirect Cost
Name
Ohio State University
Department
Type
DUNS #
City
Columbus
State
OH
Country
United States
Zip Code
43210