Spring 2020
This semester's edition of the Student Number Theory Seminar will focus on studying derived Galois deformation rings.
The goal is to follow the paper of Galatius—Venkatesh, define a prosimplicial ring whose zeroth homotopy group is Mazur's Galois deformation ring, and define a graded action of derived deformation rings on the homology of arithmetic groups in the sense of a hypothetical derived Langlands program. Along the way, the seminar will provide a gentle introduction to the necessary homotopy theory and review the Taylor—Wiles method. 
Date  Speaker  Title  References 

November 8  Michael Harris  Organizational meeting  — 
November 21  Ashwin Iyengar  Galois deformation theory  [S] 
December 12  Sam Mundy  The Taylor—Wiles method  [D] 
February 5  Roy Magen  Homotopy Background I  [LP], [GJ], [L]§1.2.3, [R] 
February 12  Inbar Klang  Model Categories  — 
February 19  Michael Harris  Simplicial rings  [M], [W]§8, [F] 
February 26  Robin Zhang  Calegari—Geraghty modularity lifting I  [CG]§14, [G] 
March 4  Stanislav Atanasov  Calegari—Geraghty modularity lifting II  [CG]§510 
March 11  —  —  — 
March 18  Spring Break (no talk)  Spring Break (no talk)  Spring Break 
March 25  —  —  — 
April 1  —  —  — 
April 8  —  —  — 
April 15  —  —  — 
April 22  —  —  — 
April 29  —  —  — 
May 6  —  —  — 
References
Articles

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