Galois deformations and modularity lifting seminar

September 28: Gal Porat

Overview and modularity lifting for GL_1

  • Notes
  • References: 1. Sections 2.2-2.4 of Calegari's CDM talk 2. Toby Gee's talk 4 in AWS 2013
  • Recording
  • October 5: Ignacio Darago

    Classical deformation theory

  • Notes
  • References: 1. "Deformation theory" by Hartshorne 2. "Deformations of Algebraic Schemes" by Senesi 3. Deformation theory via differential graded Lie algebras by Marco Manetti
  • Recording
  • October 12: Jason Kountouridis

    Galois deformation theory I

  • Notes
  • References: 1. "Deformations of Galois representations" by Gouvea 2. Section 3 of Toby Gee's AWS notes
  • Recording
  • October 19: Andreea Iorga

    Galois deformation theory II

  • Notes
  • References: 1. "Deformations of Galois representations" by Gouvea 2. "An Introduction to the Deformation Theory of Galois Representations" by Mazur. 3. "Arithmetic Duality Theorems" by Milne for Euler characteristic formulas.
  • Recording
  • October 26: Eric Stubley

    Galois deformation rings for l!=p

  • Slides
  • References: 1. Section 3 of Toby Gee's AWS notes 2. "The study of 2-dimensional p-adic Galois deformations in the l!= p case" by Pilloni.
  • Recording
  • November 2: Yulia Kotelnikova

    Galois deformation rings for l=p

  • Slides
  • References: 1. "An introduction to the theory of p-adic representations" by Berger 2. "Structure of ordinary-crystalline deformation ring for l = p", Stanford modularity lifting seminar 3. Section 3 of Toby Gee's AWS notes
  • Recording
  • November 9: Bingjin Liu

    Automorphic forms, automorphic representations and the Jacquet-Langlands correspondence

  • Notes
  • References: Section 4 of Toby Gee's AWS notes
  • Recording
  • November 9: Billy Lee

    Taylor-Wiles-Kisin Patching I

  • Notes
  • References: Section 5 of Toby Gee's AWS notes
  • Recording
  • November 16: Gal Porat

    Taylor-Wiles-Kisin Patching II

  • Notes
  • References: Section 5 of Toby Gee's AWS notes
  • Recording