2 citations · 4 across the 9 of their papers we have counts for
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Stacks of p-adic shtukas and spatial kimberlites
Ian Gleason
The main purpose of this article is to show that the special Newton polygon map from the stack of p-adic shtukas to the stack of G-bundles on the Fargues--Fontaine curve is represe…
Meromorphic vector bundles on the Fargues--Fontaine curve
Ian Gleason, Alexander B. Ivanov, Felix Zillinger
We introduce and study the stack of \textit{meromorphic} -bundles on the Fargues--Fontaine curve. This object defines a correspondence between the Kottwitz stack $\mathfrak{B}(G…
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…
On the geometric connected components of moduli spaces of p-adic shtukas and local Shimura varieties
Ian Gleason
We study topological properties of moduli spaces of p-adic shtukas and local Shimura varieties. On one hand, we construct and study the specialization map for moduli spaces of p-ad…
Specialization maps for Scholze's category of diamonds
Ian Gleason
We introduce the specialization map in Scholzes theory of diamonds. We consider v-sheaves that behave like formal schemes and call them kimberlites. We attach to them: a reduced sp…