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Title:
q-opers and the geometric aspects of the Bethe ansatz
Speaker:
Abstract:
The relation between the spectra of Gaudin models and the special type of connections on the projective line, called opers, is known for already around 20 years, serving as an example of the geometric Langlands correspondence. In this talk, I will review the recently constructed q-deformation of this example, which describes the correspondence between integrable models based on Yangians and quantum groups (XXX and XXZ models) and the q-difference generalization of opers (q-opers). In addition, I will talk about applications of q-opers in various aspects of integrable models, including quantum/classical duality and ODE/IM correspondence, as well as their use in the enumerative geometry of quiver varieties.
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Workshop: