中国科学院数学与系统科学研究院
数学研究所
数学科学全国重点实验室
表示论研讨班
Speaker: Alexander Ivanov（波鸿鲁尔大学）
Inviter: 聂思安
Language: English
Title: Comparison of schematic and analytic local Langlands categories
Time & Venue: 2026年9月24日（星期四） 10:30-11:30 南楼N820
Abstract: Recently Fargues–Scholze and Zhu independenly proposed two approaches to the geometrization of the Langlands correspondence over local non-Archimedean fields. The corresponding versions of the local Langlands categories are defined in terms of the stack of G-bundles on the Fargues–Fontaine curve within the framework of p-adic analytic geometry, respectively in terms of the stack of G-isocrystals over perfect schemes. The categorical local Langlands conjectures suggest that these two categories should be naturally equivalent. We will explain how to construct an equivalence between these categories with torsion coefficients. This is joint work with Gleason, Hamann, Lourenço and Zou.
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