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math.RT2024
Big data approach to Kazhdan-Lusztig polynomials
Abel Lacabanne, Daniel Tubbenhauer, Pedro Vaz
We investigate the structure of Kazhdan-Lusztig polynomials of the symmetric group by leveraging computational approaches from big data, including exploratory and topological data…
math.RT2024
On Hecke and asymptotic categories for a family of complex reflection groups
Abel Lacabanne, Daniel Tubbenhauer, Pedro Vaz
Generalizing the dihedral picture for G(M,M,2), we construct Hecke algebras (and present a strategy for constructing Hecke categories) and asymptotic counterparts. We think of thes…
math.RT2024
Two-row Delta Springer varieties
Abel Lacabanne, Pedro Vaz, Arik Wilbert
We study the geometry and topology of -Springer varieties associated with two-row partitions. These varieties were introduced in recent work by Griffin-Levinson-Woo to give a ge…