Massey Products in Galois Cohomology - Part 1

Explore a comprehensive lecture on Massey products in Galois cohomology through a 55-minute presentation delivered by Alexander Merkurjev from UCLA and Federico Scavia from CNRS and Université Sorbonne Paris Nord. Delve into the profinite inverse Galois problem and discover how cohomology constraints of absolute Galois groups can be used to solve fundamental questions in Galois theory. Learn about the groundbreaking Norm-Residue Theorem (Bloch-Kato Conjecture) proved by Rost and Voevodsky, and understand its implications for mod p cohomology rings of absolute Galois groups. Examine the theory of Massey products and recent developments in the Massey Vanishing Conjecture, including proof for mod 2 fourfold Massey products over arbitrary fields. Access accompanying lecture notes covering joint work on Massey products in Galois cohomology, and engage with a dedicated problem set designed for the 2024 PCMI minicourse. Gain insights into this advanced mathematical topic as part of the broader 2024 Program on Motivic Homotopy Theory, which requires foundational knowledge in algebraic geometry, algebraic topology, and homotopy theory.