CAI, Yuanqing Associate Professor

Algebra

Organization
Department of Mathematics
Research Interest
Number theory, representation theory
Keywords
automorphic L-functions, automorphic representations, covering groups

Research Activities

Automorphic representations and their L-functions carry important arithmetic information and are still actively research subjects. Many research results have been discovered through the theta correspondence and the doubling method. The aim of my research is to develop the local and global theories of automorphic L-functions of classical groups through a generalization of the doubling method.
Moreover, the theory of automorphic representations of Brylinski-Deligne covering groups (BD covering groups) of reductive groups has also attracted attention in recent years. I am also interested in the theories of automorphic L-functions and automorphic representations of BD covering groups.

Papers

  • Yuanqing Cai, Solomon Friedberg and Eyal Kaplan, Doubling constructions: global functoriality for non-generic cuspidal representations
    Ann. of Math. to appear.
  • Yuanqing Cai, Twisted doubling integrals for Brylinski-Deligne extensions of classical groups
    J. Inst. Math. Jussieu 22 (2023), pp. 1931-1985.
  • Yuanqing Cai, Solomon Friedberg, David Ginzburg and Eyal Kaplan, Doubling constructions and tensor product L-functions: the linear case
    Invent. Math. 217 (2019), pp. 985-1068.
  • Yuanqing Cai, Fourier coefficients for Theta representations on covers of general linear groups
    Trans. Amer. Math. Soc. 371 (2019), pp. 7585-7626.

WebPage

Link

Contact

cai（at）math.sci.hokudai.ac.jp