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19932026
most citedInferring population history with DIYABC: a user-friendly approach to Approximate Bayesian Computation

688 citations

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math.RT2025

An algorithm for Aubert-Zelevinsky duality à la Mœglin-Waldspurger

Thomas Lanard, Alberto Mínguez

Let be a locally compact non-Archimedean field of characteristic , and let be either the split special orthogonal group or the symplectic group $…

math.RT2025

A basis and Schur-Weyl duality for the loop Hecke algebra

Geoffrey Janssens, Abel Lacabanne, Léo Schelstraete +1

The loop Hecke algebra is a generalization of the Hecke algebra to the loop braid group, introduced by Damiani, Martin and Rowell. We give a new presentation of the loop Hecke alge…

math.RT2025

On the modular generalized Springer correspondence for disconnected groups

Kostas I. Psaromiligkos, Simon Riche

We study the construction of a modular generalized Springer correspondence for a possibly disconnected complex reductive algebraic group.

math.RT2025

Discrete series representations of quaternionic with symplectic periods

Nadir Matringe, Vincent Sécherre, Shaun Stevens +1

For a non-Archimedean locally compact field of odd residue characteristic and characteristic , we prove a conjecture of D. Prasad predicting that, for an integer …

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

Mixed modular perverse sheaves on affine flag varieties and Koszul duality

Simon Riche

Under some technical assumptions, and building on joint work with Bezrukavnikov, we prove a multiplicity formula for indecomposable tilting perverse sheaves on affine flag varietie…