3 citations · 5 across the 8 of their papers we have counts for
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On Braverman-Kazhdan's asymptotic Hecke algebra for inner forms of
Stefan Dawydiak
We study Braverman-Kazhdan's asymptotic Hecke algebra for inner forms of -adic . We show that and the property for a -rep…
Standard modules of affine Hecke algebras
Stefan Dawydiak
Let be a connected reductive group defined and split over a non-archimedean local field . We give a new geometric proof of a special case of a recent theorem of Solleveld. N…
A positivity property in the based ring of the lowest two-sided cell
Stefan Dawydiak
Let be an extended affine Weyl group and and be the corresponding affine and asymptotic Hecke algebras with standard bases and $\{t_w\…
The asymptotic Hecke algebra and rigidity
Stefan Dawydiak
We reprove the surjectivity statement of Braverman-Kazhdan's spectral description of Lusztig's asymptotic Hecke algebra in the context of -adic groups. The proof is based on…
A coherent categorification of the based ring of the lowest two-sided cell
Stefan Dawydiak
We give a partial coherent categorification of , the based ring of the lowest two sided cell of an affine Weyl group, equipped with a monoidal functor from the category of coh…
On the structure of the affine asymptotic Hecke algebras
Roman Bezrukavnikov, Stefan Dawydiak, Galyna Dobrovolska
According to a conjecture of Lusztig, the asymptotic affine Hecke algebra should admit a description in terms of the Grothedieck group of sheaves on the square of a finite set equi…
Denominators in Lusztig's asymptotic Hecke algebra via the Plancherel formula
Stefan Dawydiak
Let be an extended affine Weyl group, be the corresponding affine Hecke algebra over the ring $\mathbb{C}[\mathbf{q}^\frac{1}{2}, \mathbf{q}^{-\frac{1}{2}}…
On Lusztig's asymptotic Hecke algebra for
Stefan Dawydiak
Let be the Iwahori-Hecke algebra and let be Lusztig's asymptotic Hecke algebra, both specialized to type . For , when the parameter is speci…