Lusztig's conjecture as a moment graph problem
Duration: 1 hour 5 mins 41 secs
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About this item
| Description: |
Fiebig, P (Freiburg)
Tuesday 23 June 2009, 11:30-12:30 |
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| Created: | 2011-06-01 09:46 | ||||
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| Collection: | Algebraic Lie Theory | ||||
| Publisher: | Isaac Newton Institute | ||||
| Copyright: | Fiebig, P | ||||
| Language: | eng (English) | ||||
| Credits: |
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| Abstract: | To any root system we associate a labelled, partially ordered graph and a sheaf theory on the graph with coefficients in an arbitrary field k. An extension property then leads to the definition of a certain universal class of sheaves, the Braden-MacPherson sheaves. We formulate a conjecture about the multiplicity of their stalks. This conjecture implies Lusztig's conjecture on the irreducible characters of the simply connected algebraic group over k associated to the root system. Finally we list the proven instances of the conjecture. |
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