Colloquium; Professor Evgeny Feigin, Higher School of Economics, National Research University, Moscow: Grassmannians, flag varieties and PBW degeneration
Abstract; Grassmannians and flag varieties play fundamental role in modern mathematics. They show up in many different situations and have been extensively studied from the point of view of algebraic geometry, topology,representation theory and combinatorics. In the first part of my talk I will recall the main properties of the Grassmannians and flag varieties. In particular, I will describe the connection with the representation theory of the general linear group. In the second part of the talk I will describe recent results on the Poincaré–Birkhoff–Witt degenerations. The main idea to be utilized is the connection between the representation spaces and the varieties we are interested in.
Coffee/Tea/Biscuits from 14.00