Title: Generalized cluster structures via birational Poisson maps
Abstract: Based on a joint work with M. Shapiro and A. Vainshtein, I will present a construction of a generalized cluster structure on GL(n) compatible with the Poisson homogenous structure associated with Cremmer-Gervais Poisson brackets. A key role in our approach is played by birational Poisson maps that allow to utilize (generalized) cluster structures constructed in our previous collaborations as well as in a recent joint work with D. Voloshyn.