Event
Peter Koroteev (Berkeley)
Tuesday, October 26, 2021 15:30to16:30
Title:Ìýq-Opers, QQ-systems and Bethe Ansatz.
²¹²ú²õ³Ù°ù²¹³¦³Ù:ÌýWe introduce the notions ofÌý(G,q)-opers and establish a one-to-one correspondence between them and the set of nondegenerate solutions of a system of Bethe Ansatz equations (which are in turn dual to the so-called QQ-system). Additionally weÌýassociate to aÌý(G,q)-oper a class of meromorphic sections of aÌýG-bundle, satisfying certain difference equations, which we refer to as generalizedÌýq-Wronskians. WeÌýshow that theÌýQQ-systems and their extensions emerge as the relations between generalized minors, thereby putting the Bethe Ansatz equations in the framework of cluster mutations known in the theory of double Bruhat cells.
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