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FINAL REPORT [electronic resource] : GEOMETRY AND ELEMENTARY PARTICLE PHYSICS

Published
Washington, D.C. : United States. Dept. of Energy, 2008.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy.
Physical Description
28 pages, 344KB : digital, PDF file
Additional Creators
United States. Department of Energy. Office of Management, United States. Department of Energy, and United States. Department of Energy. Office of Scientific and Technical Information
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Summary
The effect on mathematics of collaborations between high-energy theoretical physics and modern mathematics has been remarkable. Mirror symmetry has revolutionized enumerative geometry, and Seiberg-Witten invariants have greatly simplified the study of four manifolds. And because of their application to string theory, physicists now need to know cohomology theory, characteristic classes, index theory, K-theory, algebraic geometry, differential geometry, and non-commutative geometry. Much more is coming. We are experiencing a deeper contact between the two sciences, which will stimulate new mathematics essential to the physicists’ quest for the unification of quantum mechanics and relativity. Our grant, supported by the Department of Energy for twelve years, has been instrumental in promoting an effective interaction between geometry and string theory, by supporting the Mathematical Physics seminar, postdoc research, collaborations, graduate students and several research papers.
Report Numbers
E 1.99:doe/er/25066-final
doe/er/25066-final
Subject(s)
Other Subject(s)
Note
Published through SciTech Connect.
03/04/2008.
"doe/er/25066-final"
Singer, Isadore M.
Type of Report and Period Covered Note
Final; 08/20/1988 - 08/19/2002
Funding Information
FG02-88ER25066
View MARC record | catkey: 14346399