This is a survey paper about affine Hecke algebras. We start from scratch and discuss some
algebraic aspects of their representation theory, referring to the literature for proofs. We aim …

The formal degree conjecture relates the formal degree of an irreducible square-integrable
representation of a reductive group over a local field to the special value of the adjoint γ …

We develop a general strategy for constructing the explicit Local Langlands
Correspondences for $ p $-adic reductive groups via reduction to LLC for supercuspidal …

We count primitive lattices of rank d inside as their covolume tends to infinity, with respect to
certain parameters of such lattices. These parameters include, for example, the subspace …

We interpret the orthogonality relation of Kostka polynomials arising from complex reflection
groups (cf [Shoji, Invent. Math. 74 (1983), J. Algebra 245 (2001)] and [Lusztig, Adv. Math. 61 …

We classify the spectral transfer morphisms (cf. Opdam in Adv Math 286: 912–957, 2016)
between affine Hecke algebras associated to the unipotent types of the various inner forms …

For a Weyl group W, we investigate simple closed formulas (valid on elliptic conjugacy
classes) for the character of the representation of W in the homology of a Springer fiber. We …

We give a purely local proof of the explicit Local Langlands Correspondence for GSp4 and
Sp4. Moreover, we give a unique characterization in terms of stability of L-packets and other …

We define the algebraic Dirac induction map is a Hecke algebra analog of the explicit
realization of the Baum–Connes assembly map in the-algebra of a real reductive group …

Spin representations of Weyl groups and the Springer correspondence Page 1 J. reine angew.
Math. 671 (2012), 199—222 DOI 10.1515/CRELLE.2011.160 Journal für die reine und …