Lingfei Yi

activity

20202026

most citedGeometric Langlands for hypergeometric sheaves

3 citations · 5 across the 6 of their papers we have counts for

collaborators

8 papers

math.RT2026

Singularities of orbit closures in loop spaces of symmetric varieties II: twisted cases

Tsao-Hsien Chen, Lingfei Yi

We study the singularities of orbit closures in loop symmetric varieties, extending our previous work https://arxiv.org/abs/2310.20006 to the twisted setting. We prove that the IC…

math.RT2026

Loop spaces, twistor $P^{1}$ and tempiric parameters

Tsao-Hsien Chen, Lingfei Yi

We establish bijections among spherical orbits on loop symmetric spaces, principal bundles on the twistor $P^{1}$ , and tempiric Langlands parameters. Using Vogan's theory of…

math.RT2026

Matsuki duality for loop groups

Tsao-Hsien Chen, Lingfei Yi

We establish versions of Matsuki duality for loop groups. The main result is a bijection between symmetric loop group orbits and real polynomial loop group orbits on the affine Gra…

math.NT2026

Frobenius structure on rigid connections and arithmetic applications

Daxin Xu, Lingfei Yi

We construct the natural Frobenius structures on two families of rigid irregular $G ˇ$ -connections on $G_{m}$ (or $A^{1}$ ) for a split simple group $G ˇ$ :…

math.AG2022

On the physically rigidity of Frenkel-Gross connection

Lingfei Yi

We show that the Frenkel-Gross connection on $G_{m}$ is physically rigid as $G ˇ$ -connection, thus confirming the de Rham version of a conjecture of Heinloth-Ngô-Yun.…

math.AG2022

Hypergeometric sheaves for classical groups via geometric Langlands

Masoud Kamgarpour, Daxin Xu, Lingfei Yi

In a previous paper, the first and third authors gave an explicit realization of the geometric Langlands correspondence for hypergeometric sheaves, considered as $GL_{n}$ -lo…

math.AG2021★ 2 cited

Airy sheaves for reductive groups

Konstantin Jakob, Masoud Kamgarpour, Lingfei Yi

We construct a class of $ℓ$ -adic local systems on $A^{1}$ that generalizes the Airy sheaves defined by N. Katz to reductive groups. These sheaves are finite field analogu…

math.AG2020★ 3 cited

Geometric Langlands for hypergeometric sheaves

Masoud Kamgarpour, Lingfei Yi

Generalised hypergeometric sheaves are rigid local systems on the punctured projective line with remarkable properties. Their study originated in the seminal work of Riemann on the…

Singularities of orbit closures in loop spaces of symmetric varieties II: twisted cases

Loop spaces, twistor P1 and tempiric parameters

Matsuki duality for loop groups

Frobenius structure on rigid connections and arithmetic applications

On the physically rigidity of Frenkel-Gross connection

Hypergeometric sheaves for classical groups via geometric Langlands

Airy sheaves for reductive groups

Geometric Langlands for hypergeometric sheaves

Loop spaces, twistor $P^{1}$ and tempiric parameters