activity
20132024
most citedConnected components of affine Deligne-Lusztig varieties in mixed characteristic

50 citations · 70 across the 7 of their papers we have counts for

collaborators

7 papers

math.AG2024

On the weak Harder-Narasimhan stratification on -affine Grassmannian

Miaofen Chen, Jilong Tong

We consider the Harder-Narasimhan formalism on the category of normed isocrystals and show that the Harder-Narasimhan filtration is compatible with tensor products which generalize…

math.AG2022

Weakly admissible locus and Newton stratification in p-adic Hodge theory

Miaofen Chen, Jilong Tong

The basic admissible locus inside the flag variety , attached to a reductive group with a minuscule cocharacter of , is a …

math.AG2020

Connectedness of Kisin varieties associated to absolutely irreducible Galois representations

Miaofen Chen, Sian Nie

We consider the Kisin variety associated to a -dimensional absolutely irreducible mod Galois representation of a -adic field and a cocharacter . Kisin conj…

math.AG2020★ 3 cited

Fargues-Rapoport conjecture for p-adic period domains in the non-basic case

Miaofen Chen

We prove the Fargues-Rapoport conjecture for p-adic period domains in the non-basic case with minuscule cocharacter. More precisely, we give a group theoretical criterion for the c…

math.AG2017★ 12 cited

On the structure of some p-adic period domains

Miaofen Chen, Laurent Fargues, Xu Shen

We prove the Fargues-Rapoport conjecture for p-adic period domains: for a reductive group G over a p-adic field and a minuscule cocharacter μ of G, the weakly admissible locus coin…

math.AG2015★ 5 cited

Affine Deligne-Lusztig varieties and the action of J

Miaofen Chen, Eva Viehmann

We propose a new stratification of the reduced subschemes of Rapoport-Zink spaces and of affine Deligne-Lusztig varieties that highlights the relation between the geometry of these…

math.AG2013★ 50 cited

Connected components of affine Deligne-Lusztig varieties in mixed characteristic

Miaofen Chen, Mark Kisin, Eva Viehmann

We determine the set of connected components of minuscule affine Deligne-Lusztig varieties for special maximal compact subgroups of unramified connected reductive groups. Partial r…