Monday, February 26, 2024
Time  Items 

All day 

4:00pm 
02/26/2024  4:00pm Anosov groups constitute a rich class of discrete subgroups of Lie groups, offering both geometric and dynamical intricacies. This class of discrete groups also have deep connections with several current developments in mathematics, such as higher Teichmüller theory and thin groups. For a semisimple Lie group G, each conjugacy class of parabolic subgroups P of G gives rise to a family of Anosov subgroups known as PAnosov. A natural inquiry is: Which abstract groups can arise as PAnosov subgroups of G? In this talk, we will discuss some results that fully address this question for many specific pairs of G and P. This talk will be partly based on joint work with Z. Greenberg and J.M. Riestenberg. Location:
KT205
02/26/2024  4:30pm We introduce the notions of (G,q)opers and Miura (G,q)opers, where G is a simplyconnected complex simple Lie group, and prove some general results about their structure. We then establish a onetoone correspondence between the set of (G,q)opers of a certain kind and the set of nondegenerate solutions of a system of Bethe Ansatz equations. Additionally we associate to a (G,q)oper a class of meromorphic sections of a Gbundle, satisfying certain difference equations, which we refer to as generalized qWronskians. We show that the QQsystems 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. Location:
KT217
