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# The Emerton–Gee stack

This term we will learn about the moduli spaces of Galois representations constructed by Emerton and Gee.

Program: pdf

 Termin Vortragende*r Titel on-site / online 13.10.2022 Yingying Wang Introduction on-site 20.10.2022 Marc Levine Moduli of Galois representations – 27.10.2022 Marc Kohlhaw Etale $\varphi$-modules and Galois representations – 03.11.2022 Hind Souly $(\varphi, \Gamma)$-modules and Galois representations – 10.11.2022 Virginie Gaillard Introduction to Stacks – 17.11.2022 Ludvig Modin Scheme theoretic images, etc. – 24.11.2022 Sebastian Bartling Moduli stacks of étale $\varphi$-modules – 01.12.2022 Manuel Hoff Moduli stacks of $(\varphi, \Gamma)$-modules – 08.12.2022 Luca Marannino The rank one case – 15.12.2022 Aryaman Patel Extensions of two rank $1$ $(\varphi,\Gamma)$-modules – 22.12.2022 Federica Santi Fontaine—Laffaille theory and Wach modules – 12.01.2023 Ulrich Görtz Components of $X_{red,2}$ for the generic Serre weights and $b=p-1$ case – 19.01.2023 Paulina Fust Geometric Breuil—Mézard conjecture I – 26.01.2023 Vytautas Paskunas Geometric Breuil—Mézard conjecture II – 02.02.2023 N.N. Program discussion –