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What is Bethe ansatz?

4:00 pm Thursday, October 24, 2013
Evgeny Mukhin (IUPUI)

In 1931, H. Bethe described a method which allows to diagonalize a large family of matrices appearing in one-dimensional quantum many-body models. Surprisingly, a mathematical study of this method led to many remarkable results in various fields of mathematics. I will explain the main ideas of the Bethe ansatz and discuss some of the theorems proved with the help of the Bethe ansatz including the Shapiro-Shapiro conjecture in real algebraic geometry.

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