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Geometry Talks Today
| 3:30 pm February 14, 2012 Jr Geometry Higgs bundles | |
| by Pavel Safronov (UT Austin) in RLM 9.166 |
Higgs bundles can be viewed as certain reductions of flat bundles. The moduli space of Higgs bundles enjoys many geometric properties: it has a hyperKahler structure; moreover, it is an integrable system called the Hitchin system. I will describe the fibers of the Hitchin's Hamiltonians in the cases when  and  . Time permitting, I will explain how to understand the hyperKahler structure from the point of view of nonabelian Hodge theory.Submitted by psafronov@math.utexas.edu | |