Hecke categories have been the driving force for understanding of how (p-)Kazhdan–Lusztig theory controlsrepresentation theory. As one would expect, singular Hecke categories (should) extend this picture to moresingular settings (e.g. singular blocks of algebraic groups).
In this talk we construct an explicit diagrammatic isomorphism between a two-colour singular Hecke category and the rational quiver Temperley-Lieb algebra, an extension of the usual KLR algebra with “thick strands".
