Algebra Seminar (past)
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Tue, 15/05/2007 17:00 |
Algebra Seminar  |
L1 | |
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Tue, 08/05/2007 17:00 |
Prof. Bernard Leclerc (Caen) |
Algebra Seminar |
L1 |
| Let G be a complex semisimple algebraic group of type A,D,E. Fomin and Zelevinsky conjecture that the coordinate rings of many interesting varieties attached to G have a natural cluster algebra structure. In a joint work with C. Geiss and J. Schroer we realize part of this program by introducing a cluster structure on the multi-homogeneous coordinate ring of G/P for any parabolic subgroup P of G. This was previously known only for P = B a Borel (Berenstein-Fomin-Zelevinsky) and when G/P is a grassmannian Gr(k,n) (J. Scott). We give a classification of all pairs (G,P) for which this cluster algebra has finite type. Our construction relies on a finite-dimensional algebra attached to G, the preprojective algebra introduced in 1979 by Gelfand and Ponomarev. We use the fact that the coordinate ring of the unipotent radical of P is "categorified" in a natural way by a certain subcategory of the module category of the preprojective algebra. | |||
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Tue, 01/05/2007 17:00 |
Dr. Nikolay Nikolov (Oxford/Imperial) |
Algebra Seminar |
L1 |
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Tue, 24/04/2007 17:00 |
Dr. Corneliu Hoffman (Birmingham) |
Algebra Seminar |
L1 |
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Tue, 06/03/2007 17:00 |
Prof P Baum (Penn. State) |
Algebra Seminar |
L1 |
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Tue, 27/02/2007 17:00 |
Professor Andrzej Zuk (Paris & Newton Inst.) |
Algebra Seminar |
L1 |
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Tue, 20/02/2007 17:00 |
Sefi Ladkani (Jerusalem / Oxford) |
Algebra Seminar |
L1 |
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Tue, 13/02/2007 17:00 |
Prof J Saxl (Cambridge) |
Algebra Seminar |
L1 |
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Wed, 07/02/2007 17:00 |
Persi Diaconis (Stanford, USA) |
Algebra Seminar |
L2 |
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Tue, 30/01/2007 17:00 |
Anton Evseev (Oxford) |
Algebra Seminar |
L1 |
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Tue, 23/01/2007 17:00 |
Mr D Craven (St John's College) |
Algebra Seminar |
L1 |
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Tue, 16/01/2007 17:00 |
Raphael Rouquier (Oxford) |
Algebra Seminar |
L1 |
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Tue, 16/01/2007 15:00 |
Alison Parker (Leicester) |
Algebra Seminar |
DH 1st floor SR |
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Tue, 16/01/2007 11:30 |
Stephanie van Willigenburg (British Colombia / Southampton) |
Algebra Seminar |
DH 1st floor SR |
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Tue, 28/11/2006 17:00 |
Dr Nikolay Nikolov (Imperial College and Oxford) |
Algebra Seminar |
L1 |
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Tue, 21/11/2006 17:00 |
Dr Pierre-Emmanuel Caprace (Oxford) |
Algebra Seminar |
L1 |
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Tue, 14/11/2006 17:00 |
Prof Ralph Stohr |
Algebra Seminar |
L1 |
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Tue, 07/11/2006 17:00 |
Prof Peter Rowley (Manchester) |
Algebra Seminar |
L1 |
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Tue, 31/10/2006 17:00 |
Prof. S. Shpectorov (University of Birmingham) |
Algebra Seminar |
L1 |
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Tue, 24/10/2006 17:00 |
Dr. C. Voll (University of Southampton) |
Algebra Seminar |
L1 |
