This is the website for BUNTES in Fall 2023. The topic is Galois Deformations.
Time: Wednesdays 9h45-11h + epsilon
Location: CDS 324
References: Our main reference is the article Deformations of Galois Representations by Gebhard Böckle. The following are some other helpful learning resources, subject to suggestions by participants!
Toby Gee's notes Modularity Lifting Theorems (section 3 talks about Galois deformations)
An Introduction to the Deformation Theory of Galois Representations by Barry Mazur, Chapter VIII in Modular Forms and Fermat's Last Theorem
Deforming Galois Representations by Barry Mazur
We welcome all local students to participate in this seminar. Specifically, if you are interested in giving a talk, please contact Zecheng Yi (zeyi@bu.edu) or any other Number Theory PhD students at BU!
Week 1 (Sept. 13)
Topic: Galois Representations
Speaker: John Sim
Week 2 (Sept. 20)
Topic: Introduction to Galois Deformations
Speaker: Zecheng Yi
Week 3 (Sept. 27)
Topic: Global Universal Deformation Rings
Speaker: Kate Finnerty
Week 4 (Oct. 4)
No Meeting
Week 5 (Oct. 11)
Topic: Construction, existence, and uniqueness of universal deformation rings
Speaker: Zecheng
Week 6 (Oct. 18)
Topic: Examples of obstructed and unobstructed deformation rings
Speaker: James
Week 7 (Oct. 25)
Topic: Overview of ℓ ≠ p and ℓ = p deformation problems
Speaker: Zecheng
Week 8 (Nov. 1)
Topic: Explicit examples of deformation problems when ℓ ≠ p
Speaker: Jacksyn
Week 9 (Nov. 8)
Topic: Representability of a deformation functor of a residually reducible representation by a Hida family
Speaker: John
Week 10 (Nov. 15)
Topic: A brief introduction to Fontaine-Mazur Conjecture and TWK patching, with the example of GL1
Speaker: Jiawei
Week 11 (Nov. 22)
Topic: Happy Thanksgiving!
Speaker: Turkey
Week 12 (Nov. 29)
Topic: Cristalline representations coming from geometry
Speaker: Xinyu
Week 13 (Dec. 6)
Topic: TBA
Speaker: John