Linyuan Liu

collaborators

4 papers

math.DS2020

A limit theorem for torus translation

Linyuan Liu

In this article, we prove a limit theorem for an observable on the torus with a singularity of type $x^{- a}$ , where $0 < a < 1$ .

math.RT2020

Filtrations of tilting modules and costalks of parity sheaves

Linyuan Liu

Let G be a reductive algebraic group over a field k. When k=C, R.K.Brylinski constructed a filtration of weight spaces of a G module, using the action of a principal nilpotent elem…

math.RT2019

On the cohomology of line bundles over certain flag schemes

Linyuan Liu

Let $G$ be the group scheme $SL_{d + 1}$ over $Z$ and let $Q$ be the parabolic subgroup scheme corresponding to the simple roots $α_{2}, \dots, α_{d - 1}$ . Then…

math.RT2019

On the cohomology of line bundles over certain flag schemes II

Linyuan Liu, Patrick Polo

Over a field $K$ of characteristic $p$ , let $Z$ be the incidence variety in $P^{d} \times (P^{d})^{*}$ and let $L$ be the restriction to $Z$ of the line bundl…