Department of

Mathematics


Seminar Calendar
for events the day of Friday, October 4, 2013.

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    September 2013          October 2013          November 2013    
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  1  2  3  4  5  6  7          1  2  3  4  5                   1  2
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Friday, October 4, 2013

1:00 pm in Altgeld Hall,Friday, October 4, 2013

To Be Announced

4:00 pm in 241 Altgeld Hall,Friday, October 4, 2013

Classifying Principal Torus Bundles

Dan Hockensmith (UIUC Math)

Abstract: Given a manifold M and a torus T, one can ask if there exists a principal T-bundle, P, with base space M. We will discuss the topological answer using the cohomology of M and explicitly construct the relevant classes using the geometry of P and Chern-Weil theory. We will then see how one may use this classification to describe all T-invariant symplectic structures on P for which the action of T is Hamiltonian in the special case dim(M)=dim(T). Examples will abound.