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math.NT2023★ 1 cited
Modular functoriality in the Local Langlands Correspondence
Tony Feng
We develop a theory of Smith--Treumann localization in the context of Fargues-Scholze's Geometrization of the Local Langlands Correspondence. We then apply this theory to prove som…
math.NT2023
Mirror symmetry and the Breuil-Mézard Conjecture
Tony Feng, Bao Le Hung
The Breuil-Mézard Conjecture predicts the existence of hypothetical "Breuil-Mezard cycles" in the moduli space of mod Galois representations of $\mathrm{Gal}(\overline{\mathbb{…