Lubin-Tate (phi, Gamma)-modules and their moduli stacks

Người báo cáo: Phạm Ngô Thành Đạt (Université Sorbonne Paris Nord)


Thời gian: 16h30 thứ năm, ngày 20/04

Địa điểm: Pòng 612, Nhà A6.

Link online: https://meet.google.com/yep-kbzk-eao?pli=1&authuser=4

Tóm tắt: Emerton and Gee have defined and studied stacks which interpolate Fontaine's (phi,Gamma)-modules in families. Studying the geometry of these stacks is expected to shed light on deep problems in the p-adic local Langlands program, including the Breuil-Mézard conjecture and the emerging "categorical” perspective. In this talk, I will explain a generalization of Emerton--Gee’s construction to the Lubin--Tate setting. By working at a perfectoid level, I will then show that the two versions are in fact isomorphic.

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Yongdo Lim, Hoàng Ngọc Tuấn, Nguyễn Đông Yên, DC algorithms in Hilbert spaces and the solution of indefinite infinite-dimensional quadratic programs, Journal of Global Optimization, Volume 95, pages 193–209 (2026)
Lương Thái Hưng, Jean-Claude Saut, On a regularized full dispersion Davey-Stewartson system, Discrete and Continuous Dynamical Systems, 2026, Volume 56: 557-578.
Cấn Văn Hảo, Naoki Kubota, Shuta Nakajima, Upper tail large deviation for the one-dimensional frog model, Probability Theory and Related Fields, Volume 194, pages 1945–2023 (2026)