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When Hyperplanes Collide: Tableaux and the Complex Grassmannian
Student-Run Discrete Mathematics| Speaker: | Tom Denton, UC Davis |
| Location: | 2112 MSB |
| Start time: | Thu, May 15 2008, 3:10PM |
Description
There is a well-known link between the geometry of the Grassmannian
Gr(n,k) and the combinatorics of tableaux, which yields alternate,
geometric, proofs of identities such as the Littlewood-Richardson rule.
In this talk, I will explain what the (Complex) Grassmannian is and
introduce the Schubert Varieties, which connect the combinatorics of
tableaux to the cohomology of Gr(n,k). No prior knowledge of homology
will be assumed.