## Representation Theory and Mathematical Physics Seminar: Bethe ansatz from geometry (I)

Seminar | October 25 | 4-5 p.m. | 939 Evans Hall

Andrey Smirnov, UC Berkeley

Department of Mathematics

This talk is the summary of new geometric approch to the quantum integrable spin chains. As a warm up, I will illustrate these ideas on the example of $sl(2)$ XXZ spin chain: we will obtain conventianal $sl(2)$ Bethe ansatz for this model from geometry of cotangent bundles over grassmannians. In the second part we use same ideas to derive Bethe ansatz for moduli spaces of instantons. As a byproduct we get a new look at the theory of symmetric polynomials.

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