Yifei Zhao

activity

20142023

K_{2}

and factorization line bundles

2 citations · 6 across the 8 of their papers we have counts for

collaborators

9 papers

math.AG2023

Spectral decomposition of genuine cusp forms over global function fields

Yifei Zhao

We prove a version of the twisted geometric Satake equivalence and extend the Langlands parametrization of V. Lafforgue to certain covers of reductive groups.

math.AG2022★ 1 cited

Étale metaplectic covers of reductive group schemes

Yifei Zhao

Given a reductive group scheme $G$ , we give a linear algebraic description of reduced étale $4$ -cocycles on its classifying stack $B (G)$ . These cocycles form a $2$ -groupoid…

math.AG2021

Tannakian reconstruction of reductive group schemes

Yifei Zhao

We give sharp criteria for when a reductive group scheme satisfies Tannakian reconstruction. When the base scheme is Noetherian, we explicitly identify its Tannaka group scheme.

math.AG2020★ 2 cited

Tame twistings and $Θ$ -data

Yifei Zhao

The goal of this paper is to assign an intrinsic meaning to the space of quantum parameters $Par_{G}$ appearing in the geometric Langlands program of Beilinson-Drinfel…

math.AG2019

$p$ -torsion étale sheaves on the Jacobian of a curve

Yifei Zhao

Suppose $X$ is a smooth, proper, geometrically connected curve over $F_{q}$ with an $F_{q}$ -rational point $x_{0}$ . For any $F_{q}^{\times}$ -character $σ$ of $π_1(X…

math.AG2019★ 2 cited

Extensions by $K_{2}$ and factorization line bundles

James Tao, Yifei Zhao

Let $X$ be a smooth, geometrically connected curve over a perfect field $k$ . Given a connected, reductive group $G$ , we prove that central extensions of $G$ by the sheaf $\mathbf K…

math.AG2017

Quantum parameters of the geometric Langlands theory

Yifei Zhao

Fix a smooth, complete algebraic curve $X$ over an algebraically closed field $k$ of characteristic zero. To a reductive group $G$ over $k$ , we associate an algebraic stack $\opera…

math.AG2014★ 1 cited

Maximally Frobenius-destabilized vector bundles over smooth algebraic curves

Yifei Zhao

Vector bundles in positive characteristics have a tendency to be destabilized after pulling back by the Frobenius morphism. In this paper, we closely examine vector bundles over cu…

math.DG2014

Limiting behavior of Donaldson's heat flow on non-Kähler surfaces

Jacob McNamara, Yifei Zhao

Let $X$ be a compact Hermitian surface, and $g$ be any fixed Gauduchon metric on $X$ . Let $E$ be an Hermitian holomorphic vector bundle over $X$ . On the bundle $E$ , Donaldson's hea…

Spectral decomposition of genuine cusp forms over global function fields

Étale metaplectic covers of reductive group schemes

Tannakian reconstruction of reductive group schemes

Tame twistings and Θ-data

p-torsion étale sheaves on the Jacobian of a curve

Extensions by K2​ and factorization line bundles

Quantum parameters of the geometric Langlands theory

Maximally Frobenius-destabilized vector bundles over smooth algebraic curves

Limiting behavior of Donaldson's heat flow on non-Kähler surfaces

Tame twistings and $Θ$ -data

$p$ -torsion étale sheaves on the Jacobian of a curve

Extensions by $K_{2}$ and factorization line bundles