5 papers · 1 filter
Lower bounds on the strength of the determinant
Qiyuan Chen, Yuhao Zhao
We establish new lower bounds for the strength and partition rank of the determinant. For every prime , we prove the exact identity \[ \operatorname{str}(\mathrm{det}_p)=p. \] A…
Spectral Intertwining Operators
Qiyuan Chen
We study spectral intertwining operators between spectral Eisenstein series , for two parabolic subgroups of a …
Geometry of multilinear varieties over infinite fields and its applications
Qiyuan Chen, Ke Ye
Multilinear varieties, defined as the sets of rational points of varieties cut out by multilinear functions, were first introduced and studied by Gowers and Milićević[Proc. Edinb.…
A base change framework for tensor functions
Qiyuan Chen
The main contribution of this note is to establish a framework to extend results of tensor functions over specific field to general field. As a consequence of this framework, we ex…
Turán problems for multilinear maps
Qiyuan Chen, Zixiang Xu, Ke Ye
We study Turán-type extremal problems for alternating and unrestricted multilinear maps. For alternating order- multilinear maps , we determi…