5 papers
On twisting functions
Li Cai
In this work, we unify different constructions of Kan's loop group for a reduced simplicial set topologically, by identifying its geometric realization as different…
Bessel Distributions and Kloosterman Sums
Li Cai, Jingsong Chai, Yadi Liu
Let be a split reductive group over a -adic field. We give germ expansions of Kloosterman integrals for . As an application, we prove that Bessel distributions are regula…
Distributions of Integral Points and Dedekind Zeta Values
Li Cai, Taiwang Deng
Let be the ring of integers for some number field . Let be a regular monic polynomial of degree . We study the asymptotic count of int…
From n-systems to Lie and Courant algebroids
Liqiang Cai, Zhuo Chen, Zhixiong Chen +1
This paper introduces a method for constructing pure algebroids, dull algebroids, and Lie algebroids. The construction relies on what we deffned as n-systems on vector bundles, and…
Higher Ext-groups and Relatively Supercuspidal Spectra
Li Cai, Yangyu Fan
Relatively supercuspidal representations are analogue of supercuspidal representations in the relative Langlands program. This work studies relatively supercuspidal representations…