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Combinatorial, Enumerative and Toric Geometry |
| March 23, 2009 to March 27, 2009 |
| Organized By: Michel Brion (U. de Genoble), Anders Buch (Rutgers U.), Linda Chen (Ohio State U.), William Fulton (U. Michigan), Sándor Kovács (U. Washington), Frank Sottile (Texas A&M), Harry Tamvakis (U. Maryland), and Burt Totaro (Cambridge U.) |
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| Parent Programs: |
| Algebraic Geometry |
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| Return to Workshop Description |
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Towards a Littlewood-Richardson rule in the Kac-Moody setting.
Monday March 23, 2009
02:00PM - 03:00PM
Speakers:
Nicolas Perrin
Abstract:
Abstract: (with P.E. Chaput) The Littlewood-Richardson rule is the well known combinatorial rule describing multiplication in the cohomology of the grassmannian. The structure constants c_{u,v}^w are called the Littlewood-Richardson coefficients. Recently H. Thomas and A. Yong generalised this rule, for computing the c_{u,v}^w, to all cominuscule homogeneous spaces. In this talk I shall explain how to compute any constant c_{u,v}^w for w a Lambda-minuscule element. With this method we recover easily the classical Littlewood-Richardson rule as well as the results of Thomas and Yong. We also obtain explicit presentation of the cohomology ring for adjoint varieties.
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