### 03.03.2020 (Tuesday)

#### W-algebras and Yangians

Regular Seminar Tomas Prochazka (LMU Munich)

 at: 15:00 City U.room C320 abstract: I will discuss the connection between W-algebras, the higher spin generalizations of the Virasoro algebra which are the symmetry algebras in the 2-dimensional conformal field theory, and Tsymbaliuk's affine Yangian. The bridge between these two algebraic structures is the Miura operator which on one hand provides free field representations of W-algebras and on the other hand satisfies the RTT equations with Maulik-Okounkov R-matrix. The associated integrable structure allows one to easily reproduce many well-known results in conformal field theory.