Massey Products in Galois Cohomology - Lecture 2

Learn about Massey products in Galois cohomology through a 55-minute lecture delivered by Alexander Merkurjev from UCLA and Federico Scavia from CNRS and Université Sorbonne Paris Nord. Explore the profinite inverse Galois problem and discover how cohomology constraints, particularly the Norm-Residue Theorem (Bloch-Kato Conjecture), help determine which profinite groups can be realized as absolute Galois groups of fields. Delve into the theory of Massey products and examine recent developments regarding the Massey Vanishing Conjecture, including a proof for mod 2 fourfold Massey products over arbitrary fields. Access comprehensive lecture notes and problem sets from the 2024 PCMI Graduate Summer School, which cover joint research on Galois cohomology DGA formality and the construction of fields with specific cohomological properties. Gain insights into this advanced mathematical topic as part of the broader 2024 Program on Motivic Homotopy Theory, designed for students with foundational knowledge in algebraic geometry, algebraic topology, and homotopy theory.