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Alternating Sign Matrices, Fully Packed Loops, and the Razumov-Stroganov Ex-Conjecture
Student-Run Discrete Mathematics| Speaker: | Stephen Ng, UC Davis |
| Location: | 2112 MSB |
| Start time: | Fri, Nov 5 2010, 11:00AM |
Description
The Razumov-Stroganov conjecture relates the ground state of a particular
XXZ spin chain Hamiltonian to the number of fully packed loops which
induce a given non-crossing link pattern. I will highlight aspects of the
recent proof of the conjecture by Cantini and Sportiello, and will give
special attention to their generalization of Wieland's gyration operation
on fully packed loops.