Monday, January 06, 2020
4:00 PM -
5:00 PM
Linde Hall 255
Algebra and Geometry Seminar
q-Opers, QQ-Systems and Bethe Ansatz
I will show the equivalence between nondegenerate Z-twisted (G,q)-opers and solutions of generalized Bethe equations for an arbitrary simply connected complex simple Lie group G. While in the simply laced case the resulting Bethe equations are the well-known Bethe equations for XXZ model, the non-simply laced cases feature different version of such equations which do not fit known XXZ models.
Our results bring together several approaches to the q-deformed version of opers, namely older works on q-difference version Drinfeld-Sokolov reduction, paper by Mukhin and Varchenko on difference Miura opers and the recent approach of the speaker together with Sage and Zeitlin.
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For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].