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Lie Theory |
| March 10, 2008 to March 14, 2008 |
| Organized By: Alexander Kleshchev, Arun Ram, Richard Stanley (chair), Bhama Srinivasan |
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| Parent Programs: |
| Combinatorial Representation Theory |
| Representation Theory of Finite Groups and Related Topics |
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| Return to Workshop Description |
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Tensor categories attached to cells in Weyl groups.
Monday March 10, 2008
02:00PM - 03:00PM
Speakers:
Viktor Ostrik
Abstract:
For every two sided cell in a Weyl group Lusztig attached a tensor category (via suitably truncated convolution of perverse sheaves on the corresponding flag variety). Moreover, Lusztig proposed a precise conjecture which describes this category in elementary terms. In this talk we report on joint work with R.Bezrukavnikov and M.Finkelberg where this conjecture was proved for almost all two sided cells. On the other hand the conjecture fails in the remaining cases.
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