Conference abstracts
Session S08 - Lie Groups and Representations
July 28, 17:30 ~ 18:10
Positivity of parabolic Kazhdan-Lusztig polynomials
Nicolas Libedinsky
Universidad de Chile, Chile - nlibedinsky@gmail.com
We give diagrammatic categorifications of the spherical and of the anti-spherical modules for any Coxeter group. Our main theorem gives a “light leaves” basis of morphisms in these categorifications. We deduce that all flavours of parabolic Kazhdan-Lusztig polynomials have positive coefficients (for arbitrary choices of subsets of simple reflections).
Joint work with Geordie Williamson (Max Planck Institut).