Alternating sign matrices from a physicist point of view
1 hour 6 mins 15 secs,
60.66 MB,
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| Description: |
Pasquier, V (IPhT)
Tuesday 22 April 2008, 10:00-11:00 Statistical-Mechanics and Quantum-Field Theory Methods in Combinatorial Enumeration |
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| Created: | 2008-05-02 11:24 | ||
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| Collection: | Combinatorics and Statistical Mechanics | ||
| Publisher: | Isaac Newton Institute | ||
| Copyright: | Pasquier, V | ||
| Language: | eng (English) | ||
| Distribution: |
World
(downloadable)
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| Explicit content: | No | ||
| Aspect Ratio: | 4:3 | ||
| Screencast: | No | ||
| Bumper: | UCS Default | ||
| Trailer: | UCS Default | ||
| Abstract: | There has recently been a convergence of interests between combinatorics and physics through the observation due to Razumov and Stroganov that the components of the ground state wave function of the 6-vertex (at a special value of the anisotropy parameter) model enumerate alternating sign matrices. This correspondence is still mysterious. I shall present my approach to the problem which uses the (Macdonald) polynomial representation of affine-Hecke algebras and points towards a connection with the Quantum Hall Effect. |
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