Riemann-Hilbert correspondence, representations of spherical DAHA, and P=W phenomenon
My talk is devoted to some results and speculations which are in a sense inspired by physics. Main goal of the talk is to discuss how generalized Riemann-Hilbert correspondence proposed by Maxim Kontsevich and myself in 2015 brings new perspectives to some questions in representation theory as well as to the P=W phenomenon in nonabelian Hodge theory.