Virtual Workshop on Recent Developments in Geometric Representation Theory

Abstract: in joint work with Leonardo Patimo, we investigate the compatibility of
p-cells with respect to standard parabolic subgroups. Given a p-cell in
a standard parabolic subgroup of a crystallographic Coxeter system,
one can induce the corresponding cell module and ask whether it
decomposes into cell modules. Localization techniques allow us to
give an affirmative answer to this question. Along the way, we prove
some new positivity properties of the p-canonical basis.