Arik Wilbert (Bonn), Geometric Methods in Representation Theory

Title: Two-block Springer fibers and Springer representations in type D

Abstract: We explain how to construct an explicit topological model for every two-block Springer fiber of type D. These so-called topological Springer fibers are homeomorphic to their corresponding algebro-geometric Springer fiber. They are defined combinatorially using cup diagrams which appear in the context of finding closed formulas for parabolic Kazhdan-Lusztig polynomials of type D with respect to a maximal parabolic of type A. As an application it is discussed how the topological Springer fibers can be used to reconstruct the famous Springer representation in an elementary and combinatorial way.