For more information about this meeting, contact Nigel Higson, John Roe, Ping Xu, Mathieu Stienon.
| Title: | The higher Riemann-Hilbert correspondence |
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| Seminar: | Noncommutative Geometry Seminar |
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| Speaker: | Aaron Smith, University of Pennsylvania |
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| Abstract: |
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| I will discuss joint work with Jonathan Block, in which we prove a
higher-homotopical version of the smooth Riemann-Hilbert
correspondence. Specifically, this is an (A_\infty, quasi-)
equivalence between two geometric dg-categories naturally associated
to a smooth, compact manifold. The objects of one consist of Z-graded
modules over the functions on the manifold with a kind of
homotopy-flat Z-graded connection. The other consists of
"infinity-local systems" which, from a certain perspective can be
regarded as linear representations of the singular simplicial set of
the manifold. The functor is constructed explicitly as a holonomy
calculation using the theory of iterated integrals. |
Room Reservation Information
| Room Number: | MB106 |
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| Date: | 03 / 31 / 2011 |
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| Time: | 02:30pm - 03:30pm |
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