BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20250721T003330EDT-3628e7voRV@132.216.98.100 DTSTAMP:20250721T043330Z DESCRIPTION:Title: q-Opers\, QQ-systems and Bethe Ansatz.\n\nabstract: We i ntroduce the notions of (G\,q)-opers and establish a one-to-one correspond ence between them and the set of nondegenerate solutions of a system of Be the Ansatz equations (which are in turn dual to the so-called QQ-system). Additionally we associate to a (G\,q)-oper a class of meromorphic sections of a G-bundle\, satisfying certain difference equations\, which we refer to as generalized q-Wronskians. We show that the QQ-systems and their exte nsions emerge as the relations between generalized minors\, thereby puttin g the Bethe Ansatz equations in the framework of cluster mutations known i n the theory of double Bruhat cells.\n\n \n\nPlease fill in this form: htt ps://forms.gle/S1NcNQ8BxkzfAXcj9\n DTSTART:20211026T193000Z DTEND:20211026T203000Z SUMMARY:Peter Koroteev (Berkeley) URL:/mathstat/channels/event/peter-koroteev-berkeley-3 33857 END:VEVENT END:VCALENDAR