19 citations · 49 across the 29 of their papers we have counts for
6 papers · 1 filter
Igusa Stacks and the Cohomology of Shimura Varieties
Patrick Daniels, Pol van Hoften, Dongryul Kim +1
We construct functorial Igusa stacks for all Hodge-type Shimura varieties, proving a conjecture of Scholze and extending earlier results of the fourth-named author for PEL-type Shi…
Conformal measure rigidity and ergodicity of horospherical foliations
Dongryul M. Kim
In this paper, we prove two main theorems: conformal measure rigidity and ergodicity of horospherical foliations, especially in higher rank. Both theorems are new even for relative…
Relatively Anosov groups: finiteness, measure of maximal entropy, and reparameterization
Dongryul M. Kim, Hee Oh
For a geometrically finite Kleinian group , the Bowen-Margulis-Sullivan measure is finite and is the unique measure of maximal entropy for the geodesic flow, as shown by Sulliva…
On a conjecture of Pappas and Rapoport
Patrick Daniels, Pol van Hoften, Dongryul Kim +1
We prove a conjecture of Pappas and Rapoport about the existence of ''canonical'' integral models of Shimura varieties of Hodge type with quasi-parahoric level structure at a prime…
Descending finite projective modules from a Novikov ring
Dongryul Kim
We prove a descent result for finite projective modules, motivated by a question in perfectoid geometry. Given a commutative ring , we formulate a descent problem for descending…
Ahlfors regularity of Patterson-Sullivan measures of Anosov groups and applications
Subhadip Dey, Dongryul M. Kim, Hee Oh
For all Zarski dense Anosov subgroups of a semisimple real algebraic group, we prove that their limit sets are Ahlfors regular for intrinsic conformal premetrics. As a consequence,…