For more information about this meeting, contact Mathieu Stienon, Ping Xu, Calder Daenzer.
| Title: | Quantization by groupoids for solvable symplectic symmetric spaces |
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| Seminar: | GAP Seminar |
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| Speaker: | Yannick Voglaire, Louvain-la-Neuve, Belgium |
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| Abstract: |
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| In the framework of his "quantization by groupoids" program, Alan
Weinstein showed in 1994 strong links between associativity and
geometry in the quantization problem. In particular, he conjectured
that for the Hermitian symmetric spaces, the phase of an oscillatory
integral defining a quantum product at the level of symbols should be
equal to the area of a so-called "double triangle."
The symplectic symmetric spaces constitute the natural framework for
this conjecture. I will give an introduction to these spaces and
present some structural tools allowing to narrow down the domain of
validity of the conjecture, and to build new examples generalizing the
flat Moyal-Weyl product and the solvable examples of Pierre
Bieliavsky. |
Room Reservation Information
| Room Number: | MB106 |
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| Date: | 06 / 05 / 2012 |
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| Time: | 02:30pm - 03:20pm |
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