3 papers
math.RT2025
Theta correspondence and Springer correspondence
Jia-Jun Ma, Congling Qiu, Zhiwei Yun +1
In this paper, we obtain an explicit formula for the theta correspondence of unipotent principal-series representations between an even orthogonal and a symplectic group or between…
math.RT2025
Affine Hecke categories in equal and mixed characteristic
Zhiwei Yun, Xinwen Zhu
For a quasi-split tamely connected reductive group G over a p-adic field, we prove that its (monodromic) affine Hecke category is canonically equivalent to its equal characteristic…
math.RT2025
Endoscopy for metaplectic affine Hecke categories
Gurbir Dhillon, Yau Wing Li, Zhiwei Yun +1
For a possibly twisted loop group , and any character sheaf of its Iwahori subgroup, we identify the associated affine Hecke category with a combinatorial category of Soergel b…