7 citations · 9 across the 10 of their papers we have counts for
10 papers
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…
Mod sheaves on Witt flags
Robert Cass, João Lourenço
We characterize Cohen--Macaulay and -rational perfect schemes in terms of their perverse étale mod sheaves. Using inversion of adjunction, we prove that sufficiently small S…
A modular ramified geometric Satake equivalence
Pramod N. Achar, João Lourenço, Timo Richarz +1
We extend the ramified geometric Satake equivalence due to Zhu (for tamely ramified groups) and the third named author (in full generality) from rational coefficients to include mo…
Distributions and normality theorems
João Lourenço
We derive a Serre presentation of distribution algebras of loop groups in characteristic and apply it to give a new proof of the normality of Schubert varieties inside parahori…
Gaitsgory's central functor and the Arkhipov-Bezrukavnikov equivalence in mixed characteristic
Johannes Anschütz, João Lourenço, Zhiyou Wu +1
We show that the nearby cycles functor for the -adic Hecke stack at parahoric level is perverse t-exact, by developing a theory of Wakimoto filtrations at Iwahori level, and tha…
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…
Tubular neighborhoods of local models
Ian Gleason, João Lourenço
We show that the v-sheaf local models of moduli spaces of -adic shtukas are unibranch. In particular, this proves that the scheme-theoretic local models defined in our joint wor…
On the -adic theory of local models
Johannes Anschütz, Ian Gleason, João Lourenço +1
We prove the Scholze--Weinstein conjecture on the existence and uniqueness of local models for local Shimura varieties, as well as the test function conjecture of Haines--Kottwitz…
Uma análise comparativa de ferramentas de análise estática para deteção de erros de memória
Patrícia Monteiro, João Lourenço, António Ravara
--- Portuguese version As falhas de software estão com frequência associadas a acidentes com graves consequências económicas e/ou humanas, pelo que se torna imperioso investir na v…
The Riemannian Hebbarkeitssätze for pseudorigid spaces
João N. P. Lourenço
We prove Riemann's theorems on extensions of functions over certain mixed characteristic analytic adic spaces, first introduced by Johansson and Newton. We use these results to rep…