3 papers
math.RT2022
The Based Rings of Two-sided cells in an Affine Weyl group of type , III
Yannan Qiu
We compute the based rings of two-sided cells corresponding to the unipotent class in with Jordan blocks (2211). The results also verify Lusztig's conjecture on t…
math.NT2021
Tate Classes On Siegel 3-folds
Yannan Qiu
This article proves that Tate classes on Siegel modular 3-folds are spanned by the images of Hilbert modular surfaces at degree 2 and by the images of Shimura curves at degree 4. T…
math.RT2020
Some translations in the second lowest two-sided cell of an affine Weyl group
Yannan Qiu
We are interested in cell properties of translations in affine Weyl groups. We find out some translations in the second lowest two-sided cell of an affine Weyl group and use the tr…