2 citations · 4 across the 9 of their papers we have counts for
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On the Schematic and Analytic Constructions of the Local Langlands Category
Ian Gleason, Linus Hamann, Alexander B. Ivanov +2
We prove a folklore conjecture identifying two categorical enhancements of the automorphic side of the local Langlands correspondence. Concretely, we construct an equivalence for t…
Perfectoid Nullstellensatz: Results and counterexamples
Ian Gleason
We give necessary conditions and we give sufficient conditions for perfectoid Nullstellensatz to hold. As a consequence, we prove that perfectoid Nullstellensatz does not hold for…
On the connectedness of -adic period domains
Ian Gleason, João Lourenço
We prove that all -adic period domains (and their non-minuscule analogues) are geometrically connected. This answers a question of Hartl [Har13] and has interesting consequences…
The connected components of affine Deligne--Lusztig varieties
Ian Gleason, Dong Gyu Lim, Yujie Xu
We compute the connected components of arbitrary parahoric level affine Deligne-Lusztig varieties and local Shimura varieties, thus resolving a folklore conjecture in full generali…