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Advances in Algebra and Geometry |
| April 28, 2007 to May 04, 2007 |
| Organized By: David Ellwood, Joe Harris, Craig Huneke, Hugo Rossi, Frank-Olaf Schreyer, Bernd Sturmfels, Julius Zelmanowitz |
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| Return to Workshop Description |
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Jim Simons (with Dennis Sullivan) Title: Enriching Cohomology With A Ring Of Differential Characters
Friday May 4, 2007
02:00PM - 02:45PM
Abstract:
The ring of differential characters, H^, a functor on smooth manifolds, naturally maps onto both differential forms and integral cohomology and carries useful additional information beyond these. Differential characters were inspired by the Chern-Simons construction and have had applications to both geometry and theoretical physics. In recent years a number of other functors, including Deligne cohomology in the smooth context , have been constructed and shown to be naturally isomorphic to this ring.
The first talk will provide background on this functor, show that it is uniquely characterized by a simple commutative diagram, and introduce an analogous functor K^ in which ordinary cohomology is replaced by K-theory.
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